The equation of line in slope-intercept form is,
[tex]y=mx+c[/tex]Here, m is slope of line and c is y-intercept.
Simplify the equation to obtain the slope-intercept form.
[tex]\begin{gathered} 4x-3y=-12 \\ 4x+12=3y \\ y=\frac{4x}{3}+\frac{12}{3} \\ =\frac{4}{3}x+4 \end{gathered}[/tex]