[tex]\begin{gathered} \text{slope intercept form is } \\ y=mx+c \\ c=y-\text{intercept} \\ m=\text{slope} \\ \text{Therefore,} \\ 3x-2y=4 \\ 3x-4=2y \\ \text{divide both sides by 2} \\ y=\frac{3}{2}x-\frac{4}{2} \\ y=\frac{3}{2}x-2 \end{gathered}[/tex]