The given expression is
[tex]32x-8y=24[/tex]To find the x-intercept, we make y = 0.
[tex]\begin{gathered} 32x-8(0)=24 \\ 32x=24 \\ x=\frac{24}{32} \\ x=\frac{3}{4} \end{gathered}[/tex]To find the y-intercept, we make x = 0.
[tex]\begin{gathered} 32(0)-8y=24 \\ -8y=24 \\ y=\frac{24}{-8} \\ y=-3 \end{gathered}[/tex]