Write in Slope-Intercept Form -12x+8y=-32

$- 12 x + 8 y = - 32$

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.

Add $12 x$ to both sides of the equation.

$8 y = - 32 + 12 x$

Divide each term in $8 y = - 32 + 12 x$ by $8$ and simplify.

Divide each term in $8 y = - 32 + 12 x$ by $8$ .

$\frac{8 y}{8} = \frac{- 32}{8} + \frac{12 x}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{- 32}{8} + \frac{12 x}{8}$

Divide $y$ by $1$ .

$y = \frac{- 32}{8} + \frac{12 x}{8}$

Simplify the right side.

Simplify each term.

Divide $- 32$ by $8$ .

$y = - 4 + \frac{12 x}{8}$

Cancel the common factor of $12$ and $8$ .

Factor $4$ out of $12 x$ .

$y = - 4 + \frac{4 (3 x)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Reorder $- 4$ and $\frac{3 x}{2}$ .

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

Reorder terms.

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