Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-8 Graphing Absolute Value Functions - Practice and Problem-Solving Exercises - Page 350: 39

Answer

$m = -\frac{3}{8}$

Work Step by Step

First, we want to find two points on the graph we can work with. We see one point at $(-5, 2)$ and another at $(3, -1)$. Let's use the formula to find the slope $m$ given two points: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Let's plug in the values into this formula: $m = \frac{-1 - 2}{3 - (-5)}$ Subtract the numerator and denominator to simplify: $m = -\frac{3}{8}$
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