Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review - Page 747: 82

Answer

$(-\frac{15}{2},1)$

Work Step by Step

Let $P=(x_{1},y_{1})=(-6,-5)$ and $Q=(x_{2},y_{2})=(-9,7)$ 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=$(\frac{-6-9}{2},\frac{-5+7}{2})$ Midpoint=$(\frac{-15}{2},\frac{2}{2})$ Midpoint=$(\frac{-15}{2},1)$ Therefore, the coordinates of the midpoint are:$(-\frac{15}{2},1)$
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