The equation given is: -4x - 2y = 8
we will reorder the equation to in the form of y = mx + c
-4x - 2y = 8
-4x -8 = 2y
y = -2x -4
Now, we will need to generate some points that belong to the graph in order to be able to draw the line.
To do this , we will assume values for x, substitute with these values in the equation and then get the corresponding y.
Doing this, these points will be generated:
(-5,6)
(-4,4)
(-3,2)
(-2,0)
(-1,-2)
(0,-4)
(1,-6)
(2,-8)
(3,-10)
(4,-12)
(5,-14)
Plotting these order pairs on the graph will generate the line shown in the attached image.
Hope this helps :D