Answer
Refer to the graph below.
Work Step by Step
The slope is rise over run.
The slope is$3$, so the rise is $3$ and the run is $1$.
To graph the line, perform the following steps:
(1) Plot the y-intercept $(0, 4)$.
(2) From $(0, 4)$, move 3 units up (the rise) and 1 unit to the right (the run) to reach $(1, 7)$. Plot $(1, 7)$.
(3) The slope $3$ is equivalent to $\frac{-3}{-1}$, so the rise can be $-3$ and the run is $-1$.
From $(0, 4)$, move 3 units down and 1 unit to the left to reach $(-1, 1)$. Plot $(-1, 1)$.
(4) Connect the three points using a line to complete the graph.
Refer to the attached image in the answer part above for the graph.