Answer:
[tex]\large\boxed{y=\dfrac{1}{4}x-3}\\\boxed{y=-2x+6}[/tex]
Step-by-step explanation:
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
Equation #1:
[tex]4y+12=x[/tex] subtract 12 from both sides
[tex]4y=x-12[/tex] divide both sides by 4
[tex]y=\dfrac{1}{4}x-3[/tex]
Equation #2:
[tex]4x+2y=12[/tex] subtract 4x from both sides
[tex]2y=-4x+12[/tex] divide both sides by 2
[tex]y=-2x+6[/tex]
