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: 22

Answer

$3x+2y=0$

Work Step by Step

When two lines are perpendicular in standard form, the coefficient in front of the x term is switched with the coefficient in front of the y term. Then, the new coefficient in front of the y term is made negative. After doing this, we plug in the point to find the new constant: $-3x-2y = c \\ -3(-2)-2(3) = c \\ c= 0$ Thus, we find: $-3x-2y=0 \\ 3x+2y=0$
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