Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 471: 23


$ -x+3y=2$

Work Step by Step

We find the slope of the original line: $m=\frac{-1-5}{5-3} = \frac{-6}{2}=-3$ The slope of the perpendicular line is the opposite reciprocal, which is 1/3. The line's midpoint is $(4,2)$, which is the average of the x and y endpoints. We obtain the equation, first using point slope form: $y-2 = 1/3(x-4) \\ 3y-6=x-4 \\ -x+3y=2$
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.