First, we determine the x and y-intercepts of the equation.
x-intercept
[tex]\begin{gathered} \text{When y=0} \\ 3x-4y=24 \\ 3x-4(0)=24 \\ 3x=24 \\ x=\frac{24}{3}=8 \\ x-i.ntercept\colon(8,0) \end{gathered}[/tex]y-intercept
[tex]\begin{gathered} \text{When x=0} \\ 3x-4y=24 \\ 3(0)-4y=24 \\ -4y=24 \\ y=\frac{24}{-4}=-6 \\ y-i.ntercept\colon(0,-6) \end{gathered}[/tex]Next, we sketch the graph using the points (8,0) and (0,-6).
