Skill: coordinate-plane

Coordinate Plane Tutor Help

Stuck on coordinate plane? Review the core ideas, read answers to common questions, and send a question to a tutor.

1 Quick recap

The plane is two number lines crossed at (0, 0). Plot (x, y) by running along x first, then jumping along y. Signs name the quadrant: (+,+) I, (−,+) II, (−,−) III, (+,−) IV — and a zero coordinate means the point is on an axis.

Core ideas

(x, y): x first (left–right), then y (up–down).
Quadrant signs: I (+,+), II (−,+), III (−,−), IV (+,−).
Zero coordinate → on an axis; (0, 0) is the origin.
Axis-aligned distance = absolute difference of the changing coordinate.
Domain = x-values, range = y-values of a relation.

2 Questions students ask

The questions a tutor hears most about this skill.

How do I stop mixing up (3, −2) and (−2, 3)?

Say it out loud while plotting: “x is 3, so I go right 3; y is −2, so I go down 2.” The chant “run before you jump” (x before y) fixes the order permanently.

Is (0, 5) in a quadrant?

No — any point with a zero coordinate sits on an axis. (0, 5) is on the y-axis, in no quadrant. Only points with both coordinates nonzero live in quadrants.

Do I list repeated values twice in a domain?

No. The domain is a set: {(1, 2), (3, 2)} has domain {1, 3}, not {1, 3} with the 2 repeated — wait, that is {1, 3} since x-values are 1 and 3. Duplicates are listed once.

3 Ask a tutor

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