Introductory Algebra for College Students (7th Edition)

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

Chapter 5 - Cumulative Review Exercises - Page 417: 12

Answer

The slope of this line is $-\frac{6}{5}$. The line is falling because the slope is negative.

Work Step by Step

We find the slope of this line by using the following formula: $$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$ Plug in the two points given into this equation to find $m$, which is the slope: $$m = \frac{-4 - 2}{2 - (-3)}$$ Simplify the fraction: $$m = \frac{-6}{5}$$ The line is falling because the slope is negative.
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