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 - Exercise Set - Page 151: 25


Slope is undefined, and the line is vertical.

Work Step by Step

The slope of the line through the points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. $m=\frac{\frac{1}{4}-(-2)}{\frac{7}{2}-\frac{7}{2}}$ $=\frac{\frac{9}{4}}{0}$ Since the denominator is a zero, slope is undefined, and the line is vertical.
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