Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.2 - Graphs of Linear Equations and Slope - Exercises - Page 459: 42


$ \frac{a-c}{e-c} =-1 $

Work Step by Step

For the two lines to be perpendicular, slopes must be opposite reciprocals. We use the equation for slope: $ m_1 =\frac{b-d}{a-c}$ $ m_2 = \frac{b-d}{e-c}$ The reciprocal of $m_1$ times $m_2$ must equal -1. Thus, we find the equation: $\frac{a-c}{b-d}\frac{b-d}{e-c} = -1 \\ \frac{a-c}{e-c} =-1 $
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