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: 28

Answer

$$m = -\frac{1}{3}$$

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 $(-4, -1)$ and $(2, -3)$: $$m = \frac{-3 - (-1}{2 - (-4)}$$ Simplify: $$m = \frac{-2}{6}$$ Simplify the fraction: $$m = -\frac{1}{3}$$
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