The general form of a linar equation in slope-intercept form is:
[tex]y=mx+b[/tex]Then, if you solve the given equation for y you can get the equation in form slope-intercept:
[tex]\begin{gathered} -3x+2y=6 \\ 2y=3x+6 \\ y=\frac{3}{2}x+\frac{6}{2} \\ \\ y=\frac{3}{2}x+3 \end{gathered}[/tex] The given equation in slope-intercetp form is y=3/2x + 3
