Write in y=mx+b Form 6y=x-12

$6 y = x - 12$

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.

Divide each term in $6 y = x - 12$ by $6$ and simplify.

Divide each term in $6 y = x - 12$ by $6$ .

$\frac{6 y}{6} = \frac{x}{6} + \frac{- 12}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{x}{6} + \frac{- 12}{6}$

Divide $y$ by $1$ .

$y = \frac{x}{6} + \frac{- 12}{6}$

Simplify the right side.

Divide $- 12$ by $6$ .

$y = \frac{x}{6} - 2$

Reorder terms.

$y = \frac{1}{6} x - 2$