Question

How do you write `9x=2y+13` in slope intercept form?

Answer 1

Slope intercept form is `y = mx + b`.

`9x - 13 = 2y`

`y = 9/2x - 13/2`

Hopefully this helps!

Answer 2

`y=9/2x-13/2`

Explanation:

The slope-intercept form for a linear equation is `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

In order to write the equation `9x=2y+13` in slope-intercept form, solve for `y`.

`9x=2y+13`

Subtract `2y` from both sides.

`-2y+9x=13`

Subtract `9x` from both sides.

`-2y=-9x+13`

Divide both sides by `-2`.

`y=(-9x)/(-2)+13/(-2)`

Simplify.

`y=9/2x-13/2`

`m=9/2`
`b=-13/2`

graph{y=9/2x-13/2 [-10.85, 9.15, -8.19, 1.81]}