Elementary Geometry for College Students (5th Edition)

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

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 487: 25

Answer

$y = -(b/a)x+ \frac{(gb+ah)}{a}$

Work Step by Step

If the line is perpendicular to the line with slope a/b, then it must have slope -b/a. Using point slope form, we see: $y-h = -b/a(x-g)$ $y = -(b/a)x+(gb/a)+h$ Thus, the slope intercept form is: $y = -(b/a)x+ \frac{(gb+ah)}{a}$
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