Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 3 - Graphing Linear Functions - 3.7 - Graphing Absolute Value Functions - Exercises - Page 162: 70

Answer

The slope of the line is $-\frac{5}{4}$.

Work Step by Step

The given points are $(x_1,y_1)=(-3,1)$ and $(x_2,y_2)=(1,-4)$ Slope $\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}$ Substitute all the values. $\Rightarrow m=\frac{-4-1}{1-(-3)}$ Simplify. $\Rightarrow m=\frac{-5}{1+3}$ $\Rightarrow m=-\frac{5}{4}$ Hence, the slope of the line is $-\frac{5}{4}$.
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