Question

Which equation represents a line parallel to the graph of 2x-4y=16

Answer 1

First we need to isolate the y in the equation
-4y=16-2x (subtract the 2x)
4y=2x-16 (divide both sides by -1)
y=1/2x-4 (divide both sides by 4)

The we know the slope of this line is 1/2. I'm not sure what the choices are, but the answer would have to have a slope of 1/2. For example, y=1/2x+2 might be an answer.

Hope this helps

Answer 2

Start by isolation the Y part.

2x-4y=16
-2x       -2x

-4y=16-2x

then divide both sides by negative 4 to get y completely by its self

-4y=16-2x
---    --------
-4       -4

you will get

y= -4+1/2x

that is your answer