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Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

Point $P$ is on the line $y = 5x + 3$ . The coordinates of point $Q$ are $(3, -2)$ . If $M$ is the midpoint of $PQ$ , then $M$ must lie on the line

(A) $y = \frac{5}{2}x - \frac{7}{2}$ (B) $y = 5x + 1$ (C) $y = -\frac{1}{5}x - \frac{7}{5}$ (D) $y = \frac{5}{2}x + \frac{1}{2}$ (E) $y = 5x - 7$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.