Write in y=mx+b Form 0=-3x-4-2y

$0 = - 3 x - 4 - 2 y$

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

$y = m x + b$

Rewrite in slope-intercept form.

Rewrite the equation as $- 3 x - 4 - 2 y = 0$ .

$- 3 x - 4 - 2 y = 0$

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

Add $3 x$ to both sides of the equation.

$- 4 - 2 y = 3 x$

Add $4$ to both sides of the equation.

$- 2 y = 3 x + 4$

Divide each term in $- 2 y = 3 x + 4$ by $- 2$ and simplify.

Divide each term in $- 2 y = 3 x + 4$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{3 x}{- 2} + \frac{4}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{3 x}{- 2} + \frac{4}{- 2}$

Divide $y$ by $1$ .

$y = \frac{3 x}{- 2} + \frac{4}{- 2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{3 x}{2} + \frac{4}{- 2}$

Divide $4$ by $- 2$ .

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

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

Reorder terms.

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

Remove parentheses.

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