First I would isolate the "y" in the equation:
x - 4y = 4 Subtract "x" on both sides
-4y = 4 - x Divide -4 to get "y" by itself
or
![y = (1)/(4) x - 1](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uc3us6cmkwjrbtualpkloz74gv9ut60ylb.png)
This is now in slope intercept form, which is:
y = mx + b
"m" being the slope, "b" being the y-intercept (when x = 0)
Your slope is 1/4, and your y-intercept is -1.
The 2nd graph is your answer