Answer
Refer to the graph below.
Work Step by Step
RECALL:
The slope is the ratio of the rise (change in y-value) over the run (change in x-value).
To graph the line with the given conditions, perform the following steps:
(1) Plot the point$(0, 5)$.
(2) Use the slope to plot a second point.
With a slope of $-\frac{2}{3}$, the line has a rise of $-2$ and a run of $3$.
Thus, from $(0, 5)$, move 2 units down and 3 units to the right to reach $(3, 3)$.
Plot $(3, 3)$.
(3) Connect the two points using a straight line.
(Refer to the graph in the answer part above.)
