To answer this question, we need to rewrite the given equation is the slope-intercept form, that is:
[tex]y=mx+b[/tex]Then, we have:
[tex]4y=-x-32\Rightarrow\frac{4}{4}y=-\frac{x}{4}-\frac{32}{4}\Rightarrow y=-\frac{x}{4}-8[/tex]We divide the whole equation by 4.
Thus, having this equation, we can see that:
[tex]m=-\frac{1}{4},x=0\Rightarrow y=-8[/tex]The y-intercept is the value of y when x = 0, and this value is y = -8.
Therefore, the slope is m = -1/4, and the y-intercept is y = -8 (option 4).
