Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 3 - Review Exercises - Page 276: 27


The slope is undefined.

Work Step by Step

To find the slope, we use the formula: $$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$ We now plug in points we find on the graph of the line into this equation to find the slope of this line. We will use the points $(-2, 3)$ and $(-2, -3)$: $$m = \frac{-3 -3}{-2 - (-2)}$$ Simplify: $$m = \frac{-6}{0}$$ We cannot divide by zero; the fraction is undefined. Therefore, the slope is undefined.
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