Question

What is 10x+8y=72 in the most simplest intercept form

Answer 1

`y=9-1.25x`

Explanation:

Start with:

`10x+8y=72`

We are converting to slope intercept form, meaning we solve for y

Subtract 10x from both sides:

`1.\hspace{10}10x+8y=72\\2.-10x\hspace{23} -10x\\3.\hspace{10}8y=72-10x`

Divide both sides by 8 to isolate y:

`(8y)/(8) =(72)/(8) (-10x)/(8)\\y=9-(10)/(8)x`

Simplify x coefficient:

`y=9-(10)/(8)x\\y=9-(5)/(4)x\\y=9-1.25x`