Answer:
y = (1/16)x - 5
Explanation:
The slope-intercept form of the equation has the form:
y = mx + b
Where m is the slope and b is the intercept.
So, to write the equation in the slope-intercept form, we need to solve the equation for y:
[tex]\begin{gathered} -\frac{1}{2}x+8y=-40 \\ -\frac{1}{2}x+8y+\frac{1}{2}x=-40+\frac{1}{2}x \\ 8y=-40+\frac{1}{2}x \\ \frac{8y}{8}=\frac{-40}{8}+\frac{1}{8}(\frac{1}{2}x) \\ y=-5+\frac{1}{16}x \\ y=\frac{1}{16}x-5 \end{gathered}[/tex]Therefore, the slope-intercept form of the equation is:
y = (1/16)x - 5
