EXPLANATION
In order to turn 8x -4y = 20 into slope-intercept form, first we need to consider that the generic slope-intercept is given as follow:
 y = mx + b
Where m is the slope and b is the y-intercept
Since our equation is 8x -4y = 20, we must subtract 8x from both sides:
 8x - 8x -4y = 20 - 8x
Adding similar terms:
 -4y = 20 - 8x
Dividing both sides by -4:
 y= 20/-4 -(8/-4)x
Simplifying:
 y = -5 +2x
Rearranging terms:
 y = 2x -5
Answer: the slope-intercept form is y= 2x -5