Answer
Refer to the graph below.
Work Step by Step
RECALL:
The point-slope form of a line's equation is $y-y_1=m(x-x_1)$ where $m$=slope and $(x_1, y_1)$ is a point on the line.
The given equation can be written as:
$y-(-4)=-\frac{1}{2}(x-3)$
Thus, the line has $m=-\frac{1}{2}$ and contains the point $(3, -4)$.
To graph the given equation, perform the following steps:
(1) Plot the point $(3, -4)$.
(2) Use the slope to plot a second point. From $(3, -4)$, move 1 unit down (the rise) and 2 units to the right (the run) to reach $(5, -5)$. Plot $(5, -5)$.
(3) Connect the two points using a line to complete the graph.
(Refer to the graph in the answer part above.)