Answer:
D.
Step-by-step explanation:
First, put your original equation in slope-intercept form to find your slope.
[tex]y=mx+b\\2x+4y=-5\\4y=-2x-5\\y=-\frac{1}{2} x-\frac{5}{4}[/tex]
Now that you have your slope ([tex]-\frac{1}{2}[/tex]) and a point, you can use point-slope form to find your y-intercept.
[tex]y-y1=m(x-x1)\\y-(-8)=-\frac{1}{2} (x-(-4))\\y+8=-\frac{1}{2} (x+4)\\y+8=-\frac{1}{2} x-2\\y=-\frac{1}{2} x-10[/tex]
Your answer choices are all in [tex]Ax+By=C[/tex] form, so lets convert our equation into that form.
[tex]y=-\frac{1}{2} x-10\\1/2x+y=-10\\x+2y=-20[/tex]
If we multiply all of our terms by 2, we can get answer choice D.
