Given equation is x - 4y = -8
Slope intercept form is y= mx + b
To get slope intercept form we need to get y alone
x - 4y = -8
Subtract x from both sides
x - x - 4y = -8 - x
-4y = -x - 8
Divide both sides by -4
[tex]y = \frac{1}{4} x + 2[/tex]
Slope = 1/4 and y intercept is +2
The graph is attached below.
