Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review: 155

Answer

$(4,16)$

Work Step by Step

Let $P=(x_{1},y_{1})=(-3,8)$ and $Q=(x_{2},y_{2})=(11,24)$ 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=$(\frac{-3+11}{2},\frac{8+24}{2})$ Midpoint=$(\frac{8}{2},\frac{32}{2})$ Midpoint=$(4,16)$ Therefore, the coordinates of the midpoint are:$(4,16)$.
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