Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.3 - Preparing to Do Analytic Proofs - Exercises - Page 472: 4a

Answer

$\frac{-b}{a}$

Work Step by Step

As we know that the slopes of the parallel lines are equal. Slope of the line containing (a,0) and (0,b) m = $\frac{y2-y1}{x2-x1}$ = $\frac{b-0}{0-a}$ =$\frac{-b}{a}$ Therefore the slope of the line that is parallel to the line joining(a,0) and(0,b) is $\frac{-b}{a}$
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