Find the Slope x-6y+12=0

$x - 6 y + 12 = 0$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Move all terms not containing $y$ to the right side of the equation.

Subtract $x$ from both sides of the equation.

$- 6 y + 12 = - x$

Subtract $12$ from both sides of the equation.

$- 6 y = - x - 12$

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.

Simplify each term.

Dividing two negative values results in a positive value.

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

Divide $- 12$ by $- 6$ .

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

Reorder terms.

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

Step 2

Using the slope-intercept form, the slope is $\frac{1}{6}$ .

$m = \frac{1}{6}$

Step 3