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: 24



Work Step by Step

You are given the point(1,-6). The given equation in standard form is y=$\frac{1}{2}$x-2. Since the lines are perpendicular, the two slopes would be negative reciprocals of each other. The negative reciprocal of $\frac{1}{2}$ is -2 so that would be the new slope. Use (1,-6) and -2 to find the y-intercept: y=mx+b -6=-2(1)+B -6=-2+b -4=b The y-intercept is -4 and the slope is -2. Use this to make an equation: y=-2x-4.
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