Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-6 Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises - Page 334: 25

Answer

$y=-\dfrac{1}{2}x+4$

Work Step by Step

The two equations would be perpendicular. Pick two points of the graph $(3,3)$ and $(5,7)$ to find the slope of the graph is $2$. Therefore the slope of the new equation would be $-\dfrac{1}{2}$ because that's the opposite reciprocal of the slope of the graph. Plug into slope form: $y=mx+b$ $y=-\dfrac{1}{2}+4$
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