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: 21

Answer

$4x+3y =-12$

Work Step by Step

The slope of a perpendicular line is an opposite reciprocal of the given slope. Thus, we find the opposite reciprocal of the slope given. The opposite reciprocal of 3/4 is $-4/3$. Thus, we plug in the given point in point slope form: $y+4 = -4/3(x-0) \\ y+4=-4/3x \\ 3y+12 = -4x \\ 4x+3y =-12 $
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