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: 9

Answer

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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.
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