[tex]\begin{gathered} 8x-3y=9 \\ \text{Solving y} \\ 3y=8x-9 \\ y=\frac{8x}{3}-\frac{9}{3} \\ y=\frac{8x}{3}-3 \\ \text{The slope is }\frac{8}{3} \\ \text{For y-intercept} \\ x=0 \\ y=\frac{8(0)}{3}-3 \\ y=0-3 \\ y= \\ y-\text{intercept is (0,-3)} \end{gathered}[/tex]