Question 3437: Axis Membership of a Coordinate Point

Original question and givens

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

• G001 — In one explicit Cartesian coordinate system, is P=(0,-1) on the y-axis? Answer Yes or No; the origin belongs to both axes.

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-coordinate-plane

Step-by-step derivation

P=(0,-1) in one declared rectangular frame

first component=x;second component=y

x=0;y=-1;requested y-axis

Yes

Reverse checks

• S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

Yes

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.