we have the equation
[tex]x-\frac{1}{3}y=4[/tex]
the equation in slope-intercept form is
y=mx+b
so
Isolate the variable y in the given equation
step 1
subtract x both sides
[tex]\begin{gathered} x-\frac{1}{3}y-x=4-x \\ \\ -\frac{1}{3}y=4-x \end{gathered}[/tex]
step 2
Multiply by -3 both sides
[tex]\begin{gathered} (-3)\cdot(-\frac{1}{3}y)=-3(4-x) \\ y=-12+3x \\ y=3x-12 \end{gathered}[/tex]
