Answer
see graph
Work Step by Step
$\bf{\text{Solution Outline:}}$
To graph the line with the given characteristics:
\begin{array}{l}\require{cancel}
y\text{-intercept: }
(0,-2)
\\
m=-\dfrac{2}{3}
.\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{2}{3}=\dfrac{-2}{3}
$ means that from the given point, $
(0,-2)
,$ move $
2
$ units down and $
3
$ units to the right to get the next point. Hence, the second point is
\begin{array}{l}\require{cancel}
(3,-4)
.\end{array}
Connect these points to get the graph of the line.