Answer
y=$\frac{3}{4}x-3$
m=$\frac{3}{4}$
y-intercept=-3
Work Step by Step
First isolate y in the given equation.
3x-4y=12
3x-3x-4y=-3x+12
-4y=-3x+12
-1(-4y)=-1(-3x+12)
4y=3x-12
$\frac{4y}{4}$=$\frac{3x-12}{4}$
y=$\frac{3}{4}$x-$\frac{12}{4}$
y=$\frac{3}{4}$x-3
Now that the equation is in the form of y=mx+b you can see than m=$\frac{3}{4}$ and y-intercept=-3
