Answer
Refer to the graph below.
Work Step by Step
RECALL:
The point-slope form of a line's equation is given by $y-y_1=m(x-x_1)$ where $m$=slope and $(x_1, y_1)$ is a point on the line.
The given equation can be written as:
$y-(-7)=\frac{1}{3}[x-(-5)]$
Thus,
$m=\frac{1}{3}$
$(-5, -7)$ is a point on the line.
To graph this equation, perform the following steps:
(1) Plot the point $(-5, -7)$.
(2) Use the slope to plot another point on the line.
From $(-5, -7)$ move 1 unit up (the rise) and 3 units to the right (the run) to reach $(-2, -6)$. Plot $(-2, -6)$.
(3) Connect the two points using a line.
