all you have to do is get y by itself I believe:
so bring over x:
4y = 12 - x
divide by 4:
y = - 1/4x +3
The slope-intercept form: y = mx + b
[tex]x+4y=12\qquad|\text{subtract x from both sides}\\\\4y=-x+12\qquad|\text{divide both sides by 4}\\\\\boxed{y=-\dfrac{1}{4}x+3}[/tex]
