We can write this line in y-intercept form, and then solve to convert it to standard form.
Y = mx + b
m = slope
b = y-intercept
Y = -1/4x - 2 is the slope-intercept form of the equation.
Now, we can convert this to standard form.
Add 2 to both sides.
y + 2 = -1/4x
Subtract y from both sides.
-1/4x - y = 2
Multiply all terms by -4.
x + 4y = -8 (This is your answer.)