Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.4 - Linear Functions and Slope - Concept and Vocabulary Check - Page 151: 9



Work Step by Step

RECALL: $\text{slope} = \frac{\text{change in y}}{\text{change in x}}$ The points on a vertical line share the same x-value. This means that for any two given points, the change in x-value is 0. Since the denominator of $\frac{\text{change in y}}{\text{change in x}}$ is 0, for whatever value of the numerator, the slope will always be undefined (division of zero is not allowed). Thus, the slope of a vertical line is undefined.
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.