## Elementary Geometry for College Students (7th Edition)

Published by Cengage

# Chapter 10 - Section 10.6 - The Three-Dimensional Coordinate System - Exercises - Page 490: 15

#### Answer

The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(-3, 2, 7)$

#### Work Step by Step

$P_1 = (0,0,0)$ $P_2 = (-6,4,14)$ We can find the midpoint between these two points: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ,\frac{z_1+z_2}{2})$ $= (\frac{0+(-6)}{2},\frac{0+4}{2} ,\frac{0+14}{2})$ $= (-3, 2, 7)$ The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(-3, 2, 7)$

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