Write in y=mx+b Form 3y=2x-9

$3 y = 2 x - 9$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Divide each term in $3 y = 2 x - 9$ by $3$ and simplify.

Divide each term in $3 y = 2 x - 9$ by $3$ .

$\frac{3 y}{3} = \frac{2 x}{3} + \frac{- 9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{2 x}{3} + \frac{- 9}{3}$

Divide $y$ by $1$ .

$y = \frac{2 x}{3} + \frac{- 9}{3}$

Simplify the right side.

Divide $- 9$ by $3$ .

$y = \frac{2 x}{3} - 3$

Reorder terms.

$y = \frac{2}{3} x - 3$