# Coordinate Plane Foundations

This batch has passed Schema, deduplication, source-snapshot, and independent-answer recomputation checks; it is still not marked as human-reviewed.

This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately.

batch-20260930-r07-coordinate-plane-foundations · 2026-09-30 · 100 questions

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.



## 1. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-2,-2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant III

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant III; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0001/)

Coordinate plane · qf-coordinate-location · candidate





## 2. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-2,-1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant III

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant III; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0002/)

Coordinate plane · qf-coordinate-location · candidate





## 3. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-2,0) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationx-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at x-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0003/)

Coordinate plane · qf-coordinate-location · candidate





## 4. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-2,1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant II

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant II; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0004/)

Coordinate plane · qf-coordinate-location · candidate





## 5. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-2,2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant II

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant II; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0005/)

Coordinate plane · qf-coordinate-location · candidate





## 6. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-1,-2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant III

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant III; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0006/)

Coordinate plane · qf-coordinate-location · candidate





## 7. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-1,-1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant III

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant III; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0007/)

Coordinate plane · qf-coordinate-location · candidate





## 8. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-1,0) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationx-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at x-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0008/)

Coordinate plane · qf-coordinate-location · candidate





## 9. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-1,1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant II

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant II; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0009/)

Coordinate plane · qf-coordinate-location · candidate





## 10. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(-1,2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant II

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant II; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0010/)

Coordinate plane · qf-coordinate-location · candidate





## 11. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(0,-2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationy-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at y-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0011/)

Coordinate plane · qf-coordinate-location · candidate





## 12. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(0,-1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationy-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at y-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0012/)

Coordinate plane · qf-coordinate-location · candidate





## 13. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(0,0) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationorigin

Check which coordinates are zero and the signs of the nonzero coordinates. P is at origin; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0013/)

Coordinate plane · qf-coordinate-location · candidate





## 14. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(0,1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationy-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at y-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0014/)

Coordinate plane · qf-coordinate-location · candidate





## 15. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(0,2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationy-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at y-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0015/)

Coordinate plane · qf-coordinate-location · candidate





## 16. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(1,-2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant IV

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant IV; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0016/)

Coordinate plane · qf-coordinate-location · candidate





## 17. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(1,-1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant IV

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant IV; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0017/)

Coordinate plane · qf-coordinate-location · candidate





## 18. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(1,0) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationx-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at x-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0018/)

Coordinate plane · qf-coordinate-location · candidate





## 19. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(1,1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant I

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant I; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0019/)

Coordinate plane · qf-coordinate-location · candidate





## 20. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(1,2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant I

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant I; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0020/)

Coordinate plane · qf-coordinate-location · candidate





## 21. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(2,-2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant IV

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant IV; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0021/)

Coordinate plane · qf-coordinate-location · candidate





## 22. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(2,-1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant IV

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant IV; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0022/)

Coordinate plane · qf-coordinate-location · candidate





## 23. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(2,0) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationx-axis

Check which coordinates are zero and the signs of the nonzero coordinates. P is at x-axis; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0023/)

Coordinate plane · qf-coordinate-location · candidate





## 24. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(2,1) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant I

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant I; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0024/)

Coordinate plane · qf-coordinate-location · candidate





## 25. Location of a Coordinate Point

In one explicit Cartesian coordinate system, classify P=(2,2) as a quadrant, an axis point, or the origin. Axis points are not in quadrants.

View answer and explanationquadrant I

Check which coordinates are zero and the signs of the nonzero coordinates. P is at quadrant I; the origin lies on both axes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-location-0025/)

Coordinate plane · qf-coordinate-location · candidate





## 26. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-2,-2) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0001/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 27. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-2,-1) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0002/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 28. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-2,0) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationYes

The x-axis condition is y=0. Componentwise checking gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0003/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 29. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-2,1) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0004/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 30. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-2,2) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0005/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 31. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-1,-2) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0006/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 32. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-1,-1) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0007/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 33. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-1,0) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0008/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 34. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-1,1) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0009/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 35. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(-1,2) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0010/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 36. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(0,-2) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0011/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 37. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(0,-1) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationYes

The y-axis condition is x=0. Componentwise checking gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0012/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 38. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(0,0) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationYes

The x-axis condition is y=0. Componentwise checking gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0013/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 39. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(0,1) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationYes

The y-axis condition is x=0. Componentwise checking gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0014/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 40. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(0,2) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0015/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 41. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(1,-2) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0016/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 42. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(1,-1) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0017/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 43. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(1,0) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0018/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 44. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(1,1) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0019/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 45. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(1,2) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0020/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 46. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(2,-2) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0021/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 47. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(2,-1) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0022/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 48. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(2,0) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationYes

The x-axis condition is y=0. Componentwise checking gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0023/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 49. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(2,1) on the y-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The y-axis condition is x=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0024/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 50. Axis Membership of a Coordinate Point

In one explicit Cartesian coordinate system, is P=(2,2) on the x-axis? Answer Yes or No; the origin belongs to both axes.

View answer and explanationNo

The x-axis condition is y=0. Componentwise checking gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-axis-membership-0025/)

Coordinate plane · qf-coordinate-axis-membership · candidate





## 51. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(-2,-2)? Read the ordered pair as (x,y).

View answer and explanation-2

The first component is -2, so the x-coordinate is -2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0001/)

Coordinate plane · qf-coordinate-component · candidate





## 52. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(-2,-1)? Read the ordered pair as (x,y).

View answer and explanation-1

The second component is -1, so the y-coordinate is -1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0002/)

Coordinate plane · qf-coordinate-component · candidate





## 53. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(-2,0)? Read the ordered pair as (x,y).

View answer and explanation-2

The first component is -2, so the x-coordinate is -2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0003/)

Coordinate plane · qf-coordinate-component · candidate





## 54. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(-2,1)? Read the ordered pair as (x,y).

View answer and explanation1

The second component is 1, so the y-coordinate is 1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0004/)

Coordinate plane · qf-coordinate-component · candidate





## 55. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(-2,2)? Read the ordered pair as (x,y).

View answer and explanation-2

The first component is -2, so the x-coordinate is -2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0005/)

Coordinate plane · qf-coordinate-component · candidate





## 56. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(-1,-2)? Read the ordered pair as (x,y).

View answer and explanation-2

The second component is -2, so the y-coordinate is -2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0006/)

Coordinate plane · qf-coordinate-component · candidate





## 57. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(-1,-1)? Read the ordered pair as (x,y).

View answer and explanation-1

The first component is -1, so the x-coordinate is -1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0007/)

Coordinate plane · qf-coordinate-component · candidate





## 58. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(-1,0)? Read the ordered pair as (x,y).

View answer and explanation0

The second component is 0, so the y-coordinate is 0.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0008/)

Coordinate plane · qf-coordinate-component · candidate





## 59. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(-1,1)? Read the ordered pair as (x,y).

View answer and explanation-1

The first component is -1, so the x-coordinate is -1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0009/)

Coordinate plane · qf-coordinate-component · candidate





## 60. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(-1,2)? Read the ordered pair as (x,y).

View answer and explanation2

The second component is 2, so the y-coordinate is 2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0010/)

Coordinate plane · qf-coordinate-component · candidate





## 61. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(0,-2)? Read the ordered pair as (x,y).

View answer and explanation0

The first component is 0, so the x-coordinate is 0.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0011/)

Coordinate plane · qf-coordinate-component · candidate





## 62. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(0,-1)? Read the ordered pair as (x,y).

View answer and explanation-1

The second component is -1, so the y-coordinate is -1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0012/)

Coordinate plane · qf-coordinate-component · candidate





## 63. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(0,0)? Read the ordered pair as (x,y).

View answer and explanation0

The first component is 0, so the x-coordinate is 0.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0013/)

Coordinate plane · qf-coordinate-component · candidate





## 64. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(0,1)? Read the ordered pair as (x,y).

View answer and explanation1

The second component is 1, so the y-coordinate is 1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0014/)

Coordinate plane · qf-coordinate-component · candidate





## 65. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(0,2)? Read the ordered pair as (x,y).

View answer and explanation0

The first component is 0, so the x-coordinate is 0.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0015/)

Coordinate plane · qf-coordinate-component · candidate





## 66. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(1,-2)? Read the ordered pair as (x,y).

View answer and explanation-2

The second component is -2, so the y-coordinate is -2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0016/)

Coordinate plane · qf-coordinate-component · candidate





## 67. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(1,-1)? Read the ordered pair as (x,y).

View answer and explanation1

The first component is 1, so the x-coordinate is 1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0017/)

Coordinate plane · qf-coordinate-component · candidate





## 68. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(1,0)? Read the ordered pair as (x,y).

View answer and explanation0

The second component is 0, so the y-coordinate is 0.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0018/)

Coordinate plane · qf-coordinate-component · candidate





## 69. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(1,1)? Read the ordered pair as (x,y).

View answer and explanation1

The first component is 1, so the x-coordinate is 1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0019/)

Coordinate plane · qf-coordinate-component · candidate





## 70. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(1,2)? Read the ordered pair as (x,y).

View answer and explanation2

The second component is 2, so the y-coordinate is 2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0020/)

Coordinate plane · qf-coordinate-component · candidate





## 71. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(2,-2)? Read the ordered pair as (x,y).

View answer and explanation2

The first component is 2, so the x-coordinate is 2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0021/)

Coordinate plane · qf-coordinate-component · candidate





## 72. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(2,-1)? Read the ordered pair as (x,y).

View answer and explanation-1

The second component is -1, so the y-coordinate is -1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0022/)

Coordinate plane · qf-coordinate-component · candidate





## 73. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(2,0)? Read the ordered pair as (x,y).

View answer and explanation2

The first component is 2, so the x-coordinate is 2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0023/)

Coordinate plane · qf-coordinate-component · candidate





## 74. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the y-coordinate of P=(2,1)? Read the ordered pair as (x,y).

View answer and explanation1

The second component is 1, so the y-coordinate is 1.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0024/)

Coordinate plane · qf-coordinate-component · candidate





## 75. Component of an Ordered Coordinate Pair

In one explicit Cartesian coordinate system, what is the x-coordinate of P=(2,2)? Read the ordered pair as (x,y).

View answer and explanation2

The first component is 2, so the x-coordinate is 2.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-component-0025/)

Coordinate plane · qf-coordinate-component · candidate





## 76. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-2,-2) and Q=(-2,-2) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0001/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 77. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-2,-1) and Q=(-1,-1) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0002/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 78. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-2,0) and Q=(-2,0) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0003/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 79. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-2,1) and Q=(-2,2) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0004/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 80. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-2,2) and Q=(-2,2) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0005/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 81. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-1,-2) and Q=(0,-2) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0006/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 82. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-1,-1) and Q=(-1,-1) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0007/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 83. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-1,0) and Q=(0,0) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0008/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 84. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-1,1) and Q=(-1,1) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0009/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 85. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(-1,2) and Q=(-1,3) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0010/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 86. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(0,-2) and Q=(0,-2) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0011/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 87. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(0,-1) and Q=(1,-1) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0012/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 88. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(0,0) and Q=(0,0) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0013/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 89. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(0,1) and Q=(1,1) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0014/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 90. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(0,2) and Q=(0,2) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0015/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 91. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(1,-2) and Q=(1,-1) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0016/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 92. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(1,-1) and Q=(1,-1) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0017/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 93. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(1,0) and Q=(2,0) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0018/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 94. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(1,1) and Q=(1,1) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0019/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 95. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(1,2) and Q=(2,2) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0020/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 96. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(2,-2) and Q=(2,-2) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0021/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 97. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(2,-1) and Q=(2,0) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0022/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 98. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(2,0) and Q=(2,0) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0023/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 99. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(2,1) and Q=(3,1) the same point? Compare corresponding coordinates.

View answer and explanationNo

Point equality requires equality of both corresponding components. The componentwise comparison gives No.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0024/)

Coordinate plane · qf-coordinate-point-equality · candidate





## 100. Equality of Points in One Coordinate System

In the same explicit Cartesian coordinate system, are P=(2,2) and Q=(2,2) the same point? Compare corresponding coordinates.

View answer and explanationYes

Point equality requires equality of both corresponding components. The componentwise comparison gives Yes.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r07-coordinate-point-equality-0025/)

Coordinate plane · qf-coordinate-point-equality · candidate



[Canonical question JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20260930-r07-coordinate-plane-foundations/questions.jsonl) · [English JSONL](https://ocme.evemisslab.com/data/i18n/questions/batch-20260930-r07-coordinate-plane-foundations.en.jsonl) · [Validation report](https://ocme.evemisslab.com/data/questions/batches/batch-20260930-r07-coordinate-plane-foundations/validation-report.json)