Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 81

Answer

$(-5,5)$

Work Step by Step

Let $P=(x_{1},y_{1})=(2,6)$ and $Q=(x_{2},y_{2})=(-12,4)$ The midpoint formula is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$. Substituting the values: Midpoint=$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ Midpoint=$(\frac{2-12}{2},\frac{6+4}{2})$ Midpoint=$(\frac{-10}{2},\frac{10}{2})$ Midpoint=$(-5,5)$ Therefore, the coordinates of the midpoint are: $(-5,5)$
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