Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - The Coordinate Plane, Slope, and Midpoint - Exercises: 13

Answer

$$(5,-1.5)$$

Work Step by Step

The coordinates $(x_{m},y_{m})$ of the midpoint of the segment joining the points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are given by $$x_{m}=\frac{x_{1}+x_{2}}{2}$$ and $$y_{m}=\frac{y_{1}+y_{2}}{2}.$$ Substitute $x_{1}=3$, $y_{1}=3$, $x_{2}=7$ and $y_{2}=-6:$ $$x_{m}=\frac{3+7}{2}=5$$ and $$y_{m}=\frac{3+(-6)}{2}=-1.5.$$
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