Question

How do you write an equation in slope intercept form given 5x+8y=96?

Answer 1

`y = -5/8x + 12`

Explanation:

Slope intercept form: `y=mx+b` where `m` is the slope and `b` is the y intercept.

`5x + 8y = 96`

Let's rewrite this equation in slope intercept form. First get the `y` variable term by itself.

`8y = 96 - 5x`

Now divide out the `8`.

`y = 12 - 5/8x`

Rearrange the terms on the right side of the equal sign to match the slope intercept equation from above.

`y = -5/8x + 12`

If you were to graph this line it would look like: graph{-5/8x + 12 [-10.04, 9.96, 7.46, 17.88]}