Plot, read, and interpret points in all four quadrants on the coordinate plane.
Judge a quadrant or axis claim
Problem
A student says \((-4,~2)\) is in Quadrant \(IV\). Evaluate the claim from the coordinate signs, and report whether it is valid or invalid followed by the correct classification.
Big Picture
What this problem is really about
Test the claim from the coordinate signs rather than the stated quadrant name. A negative x-coordinate places the point left of the vertical axis, while a positive y-coordinate places it above the horizontal axis. Match that combined region to the quadrant pattern, then report whether the original claim holds and give the corrected classification.
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