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: 46

Answer

(0,-1)

Work Step by Step

The x values of A and B are -2 and 3, respectively. The distance between these two points on the x-axis is: 3-(-2) = 5. As point C lies $\frac{2}{5}$ of the way from A to B, we can multiply the x-distance of 5 by $\frac{2}{5}$: 5 $\times$ $\frac{2}{5}$ = 2 To determine the x-coordinate, we must add 2 to the x-coordinate of A: -2 + 2 = 0 Next, we must look at the difference between the y-values of A and B. The y-values of A and B are -3 and 2, respectively. The distance between these two points is 2-(-3) = 5. As point C lies $\frac{2}{5}$ of the way from A to B, we can multiply the y-distance of 5 by $\frac{2}{5}$: 5 $\times$ $\frac{2}{5}$ = 2 To determine the y-coordinate, we must add 2 to the y-coordinate of A: -3 + 2 = -1. The x-coordiante is 0 and the y-coordinate is -1.
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