Write in Slope-Intercept Form 11x-4y=32

$11 x - 4 y = 32$

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.

Subtract $11 x$ from both sides of the equation.

$- 4 y = 32 - 11 x$

Divide each term in $- 4 y = 32 - 11 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 32 - 11 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{32}{- 4} + \frac{- 11 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{32}{- 4} + \frac{- 11 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{32}{- 4} + \frac{- 11 x}{- 4}$

Simplify the right side.

Simplify each term.

Divide $32$ by $- 4$ .

$y = - 8 + \frac{- 11 x}{- 4}$

Dividing two negative values results in a positive value.

$y = - 8 + \frac{11 x}{4}$

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

Reorder $- 8$ and $\frac{11 x}{4}$ .

$y = \frac{11 x}{4} - 8$

Reorder terms.

$y = \frac{11}{4} x - 8$