Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises - Page 203: 36



Work Step by Step

We know that if the slope of two lines are opposite reciprocals, they are perpendicular. To check whether the slopes are opposite reciprocals, we put both equations in slope intercept form. The first equation is already in slope intercept form. Rearranging the other equation gives: $y = x+20$ From this, we see that the two lines are perpendicular as the slopes are opposite reciprocals.
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