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 - Got It? - Page 332: 3


The equation is $y=\frac{-1}{2}x+\frac{17}{2}$.

Work Step by Step

The slope is $2$. The opposite reciprocal of $2$ is $\frac{-1}{2}$. So, the perpendicular line has a slope of $\frac{-1}{2}$. Use point-slope form to write an equation of the perpendicular line. $y-y_1=m(x-x_1)$ $y-8=\frac{-1}{2}(x-1)$ $y-8=\frac{-1}{2}x+\frac{1}{2}$ $y=\frac{-1}{2}x+\frac{17}{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.