# Chapter 2 - Section 2.2 - The Slope of a Line - 2.2 Exercises - Page 158: 19

$\frac{5}{2}$

#### Work Step by Step

We are given that the slope $m$ of the line passing through the distinct points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is defined as: $m=\frac{rise}{run}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ (where $x_{2}\ne x_{1}$) Therefore, $m=\frac{4-(-1)}{-3-(-5)}=\frac{4+1}{-3+5}=\frac{5}{2}$.

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