Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - 5-2 Perpendicular and Angle Bisectors - Practice and Problem-Solving Exercises - Page 299: 46


The slope is undefined.

Work Step by Step

A horizontal line has a slope of $0$ because it does not have a rise ($y$ value), but it does have a run ($x$ value). A line that is perpendicular has to be a vertical line. A vertical line has an undefined slope because it has a rise ($y$ value), but no run ($x$ value). Any fraction with $0$ as its denominator is undefined. Therefore, the slope of a line perpendicular to $l$ is vertical and has an undefined slope.
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