Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 8 - Section 8.1 - Review of Equations of Lines and Writing Parallel and Perpendicular Lines - Exercise Set - Page 573: 54

Answer

$y=-1/2*x+13/2$

Work Step by Step

through (3,5) and perpendicular to $2x-y=8$ $2x-y=8$ $2x-y+y=8+y$ $2x=y+8$ $2x-8=y+8-8$ $2x-8=y$ slope of perpendicular line: -1/2 (since $-1/2*2=-1$) $y=-1/2*x+b$ $5=-1/2*3+b$ $5=-3/2+b$ $10/2=-3/2+b$ $10/2+3/2=-3/2+b+3/2$ $13/2=b$ $y=-1/2*x+13/2$
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