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: 25

Answer

The slope is undefined. Because the slope is undefined, the line is vertical.

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 the given points into this equation to find the slope of this line: $$m = \frac{-3 - 3}{5 - 5}$$ Simplify: $$m = \frac{-6}{0}$$ Since you cannot divide by $0$, the slope is undefined. Because the slope is undefined, the line is vertical.
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