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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]