Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 441: 5


b =10.5 and 3.5

Work Step by Step

As we know that the pair of points have y coordinate common so the distance between the two points can be found by getting the absolute value of the difference between the two non common y coordinate points. Therefore, |b-7|=3.5 |x| =a so it can be x=-a or x=a |b-7|=3.5 so, b-7 = 3.5 or b-7 = -3.5 b = 3.5+7 or b= -3.5+7 b=10.5 or b = 3.5 Therefore the possible values of b are 10.5 and 3.5.
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