Question

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

a). x + 2y = 16

b). 2x + y = -16

c). 2x + 4y = -9

d). x + 2y = -20

Answer 1

D.

Explanation:

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

`y=mx+b\\2x+4y=-5\\4y=-2x-5\\y=-(1)/(2) x-(5)/(4)`

Now that you have your slope (
`-(1)/(2)`) and a point, you can use point-slope form to find your y-intercept.

`y-y1=m(x-x1)\\y-(-8)=-(1)/(2) (x-(-4))\\y+8=-(1)/(2) (x+4)\\y+8=-(1)/(2) x-2\\y=-(1)/(2) x-10`

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

`y=-(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.