It's a linear function.
We need only two points to plotting a graph.
Convert the equation of line from the standard form to slope0intercept form.
[tex]8x+6y=144\qquad\text{subtract 8x from both sides}\\\\6y=-8x+144\qquad\text{divide both sides by 6}\\\\y=-\dfrac{8}{6}x+\dfrac{144}{6}\\\\y=-\dfrac{4}{3}x+24[/tex]
We choose any two values of x and calculate y.
[tex]for\ x=0\to y=-\dfrac{4}{3}(0)+24=0+24=24\to(0,\ 24)\\\\for\ x=24\to y=-\dfrac{4}{3}(24)+24=-4(8)+24=-32+24=-8\to(24,\ -8)[/tex]
