Write in y=mx+b Form -12x+13y=-10

$- 12 x + 13 y = - 10$

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.

$13 y = - 10 + 12 x$

Divide each term in $13 y = - 10 + 12 x$ by $13$ and simplify.

Divide each term in $13 y = - 10 + 12 x$ by $13$ .

$\frac{13 y}{13} = \frac{- 10}{13} + \frac{12 x}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 y}{13} = \frac{- 10}{13} + \frac{12 x}{13}$

Divide $y$ by $1$ .

$y = \frac{- 10}{13} + \frac{12 x}{13}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{10}{13} + \frac{12 x}{13}$

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

Reorder $- \frac{10}{13}$ and $\frac{12 x}{13}$ .

$y = \frac{12 x}{13} - \frac{10}{13}$

Reorder terms.

$y = \frac{12}{13} x - \frac{10}{13}$