What is the slope intercept from of the liner equation x+4y=12

Slope equals 1/4 and y intercept is -3

Slope intercept form is y = mx + b, the quation is x+4y=12

to get this, start by subtracting x from both sides.
4y = 12 + x or -x + 12 = 4y

divide both sides by 4
-1/4x + 3 = y

y is on its own, and the equation is in y -= mx + b, so -1/4x + 3 = y is your final answer, hope this helps!