Write in Slope-Intercept Form 13x-11y=-12

$13 x - 11 y = - 12$

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 $13 x$ from both sides of the equation.

$- 11 y = - 12 - 13 x$

Divide each term in $- 11 y = - 12 - 13 x$ by $- 11$ and simplify.

Divide each term in $- 11 y = - 12 - 13 x$ by $- 11$ .

$\frac{- 11 y}{- 11} = \frac{- 12}{- 11} + \frac{- 13 x}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 y}{- 11} = \frac{- 12}{- 11} + \frac{- 13 x}{- 11}$

Divide $y$ by $1$ .

$y = \frac{- 12}{- 11} + \frac{- 13 x}{- 11}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{12}{11} + \frac{- 13 x}{- 11}$

Dividing two negative values results in a positive value.

$y = \frac{12}{11} + \frac{13 x}{11}$

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

Reorder $\frac{12}{11}$ and $\frac{13 x}{11}$ .

$y = \frac{13 x}{11} + \frac{12}{11}$

Reorder terms.

$y = \frac{13}{11} x + \frac{12}{11}$