Question 3497: Location of a Coordinate Point

Original question and givens

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.

• G001 — 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.

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=(2,-1) in one declared rectangular frame

first component=x;second component=y

x=0:No;y=0:No;signs=(1,-1)

fourth quadrant

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

quadrant IV

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.