Answer:
[tex]y=9-1.25x[/tex]
Step-by-step explanation:
Start with:
[tex]10x+8y=72[/tex]
We are converting to slope intercept form, meaning we solve for y
Subtract 10x from both sides:
[tex]1.\hspace{10}10x+8y=72\\2.-10x\hspace{23} -10x\\3.\hspace{10}8y=72-10x[/tex]
Divide both sides by 8 to isolate y:
[tex]\frac{8y}{8} =\frac{72}{8} \frac{-10x}{8}\\y=9-\frac{10}{8}x[/tex]
Simplify x coefficient:
[tex]y=9-\frac{10}{8}x\\y=9-\frac{5}{4}x\\y=9-1.25x[/tex]