Question

Select the equation of the line parallel to the equation 2x + 4y = -5 that passes through the point (-4, -8).

Answer 1

Answer:

D.

Step-by-step explanation:

First, put your original equation in slope-intercept form to find your slope.

$y=mx+b\\2x+4y=-5\\4y=-2x-5\\y=-\frac{1}{2} x-\frac{5}{4}$

Now that you have your slope ($-\frac{1}{2}$) and a point, you can use point-slope form to find your y-intercept.

$y-y1=m(x-x1)\\y-(-8)=-\frac{1}{2} (x-(-4))\\y+8=-\frac{1}{2} (x+4)\\y+8=-\frac{1}{2} x-2\\y=-\frac{1}{2} x-10$

Your answer choices are all in $Ax+By=C$ form, so lets convert our equation into that form.

$y=-\frac{1}{2} x-10\\1/2x+y=-10\\x+2y=-20$

If we multiply all of our terms by 2, we can get answer choice D.