Answer
The slope of a line that is parallel to the graph of the equation is $\frac{-1}{2}$.
Work Step by Step
We are given $y=-\frac{1}{2}x-4$
Nonvertical lines are parallel if they have the same slope and different y-intercepts.
Write an equation in slope-intercept form of the line where m represents the slope:
$y=mx+b$
$y=\frac{-1}{2}x-4$
Therefore, the slope of a line that is parallel to the graph of the equation is $\frac{-1}{2}$.
