# Chapter 2 - Section 2.2 - The Slope of a Line - 2.2 Exercises - Page 159: 67

see graph

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To graph the line with the given characteristics: \begin{array}{l}\require{cancel} \text{Through } (-4,2) \\ m=\dfrac{1}{2} .\end{array} start with the given point. Then use the slope as $rise$ over $run$ to get a second point. $\bf{\text{Solution Details:}}$ Using the concept of slope as $rise$ over $run$, a slope of $\dfrac{1}{2}$ means that from the given point, $(-4,2) ,$ move $1$ unit up and $2$ units to the right to get the next point. Hence, the second point is \begin{array}{l}\require{cancel} (-2,3) .\end{array} Connect these points to get the graph of the line.

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