Write in Slope-Intercept Form 12+4y=-4x

$12 + 4 y = - 4 x$

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.

Subtract $12$ from both sides of the equation.

$4 y = - 4 x - 12$

Divide each term in $4 y = - 4 x - 12$ by $4$ and simplify.

Divide each term in $4 y = - 4 x - 12$ by $4$ .

$\frac{4 y}{4} = \frac{- 4 x}{4} + \frac{- 12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 4 x}{4} + \frac{- 12}{4}$

Divide $y$ by $1$ .

$y = \frac{- 4 x}{4} + \frac{- 12}{4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 4$ and $4$ .

Factor $4$ out of $- 4 x$ .

$y = \frac{4 (- x)}{4} + \frac{- 12}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$y = \frac{4 (- x)}{4 (1)} + \frac{- 12}{4}$

Cancel the common factor.

$y = \frac{4 (- x)}{4 \cdot 1} + \frac{- 12}{4}$

Rewrite the expression.

$y = \frac{- x}{1} + \frac{- 12}{4}$

Divide $- x$ by $1$ .

$y = - x + \frac{- 12}{4}$

Divide $- 12$ by $4$ .

$y = - x - 3$