our equation is
[tex]11x-4y=32[/tex]to write the slope intercept form we need to solve the equation for Y
then
[tex]\begin{gathered} -4y=32-11x \\ 4y=-32+11x \\ y=\frac{-32+11x}{4} \\ \\ y=-8+\frac{11}{4}x \\ \\ y=\frac{11}{4}x-8 \end{gathered}[/tex]