Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-7 Midpoint and Distance in the Coordinate Plane - Practice and Problem-Solving Exercises: 42

Answer

$d=6.7$ $M(-2.5,-2)$

Work Step by Step

Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(-1-(-4))^2+(1-(-5))^2}$ $d=\sqrt{(3)^2+(6)^2}$ $d=\sqrt{9+36}$ $d=\sqrt{45}$ $d=6.7$ Use the midpoint formula to find the x-coordinate of the midpoint: $x_m=\frac{x_1+x_2}{2}=\frac{-4+(-1)}{2}=\frac{-5}{2}=-2.5$ Use the midpoint formula to find the y-coordinate of the midpoint: $y_m=\frac{y_1+y_2}{2}=\frac{-5+1}{2}=\frac{-4}{2}=-2$
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