Write in y=mx+b Form 2x+3y+27=0

$2 x + 3 y + 27 = 0$

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.

Move all terms not containing $y$ to the right side of the equation.

Subtract $2 x$ from both sides of the equation.

$3 y + 27 = - 2 x$

Subtract $27$ from both sides of the equation.

$3 y = - 2 x - 27$

Divide each term in $3 y = - 2 x - 27$ by $3$ and simplify.

Divide each term in $3 y = - 2 x - 27$ by $3$ .

$\frac{3 y}{3} = \frac{- 2 x}{3} + \frac{- 27}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 2 x}{3} + \frac{- 27}{3}$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{3} + \frac{- 27}{3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{(2) x}{3} + \frac{- 27}{3}$

Divide $- 27$ by $3$ .

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

Write in $y = m x + b$ form.

Reorder terms.

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

Remove parentheses.

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