Answer:
to graph this, we need to convert the standard form equation into slope form (y = mx + b).
-4x + 2y = 8
add 4x to both sides
2y = 4x + 8
divide by 2 on both sides
y = 2x + 4
graph. you start by graphing the y-intercept (which is b in the slope form equation)
the point of the y-intercept is when the line crosses the y axis. (i labeled this in green)
then, you graph at least to additional points according to the slope. the slope is 2/1 (which is the same as 2), represented by m in the slope form equation
next is a matter of rise/run. You rise up two units, and over one unit (represented in purple)
all that is left is to draw the line