the slope-intercept form is
[tex]y=mx+b[/tex]so in order to have this form, we need to clear x
[tex]\begin{gathered} -16x=-12y-12 \\ 12y=16x-12 \\ y=\frac{16}{12}x-\frac{12}{12} \\ y=\frac{4}{3}x-1 \end{gathered}[/tex]the equation in slope-intercept form is
[tex]y=\frac{4}{3}x-1[/tex]