Write in Slope-Intercept Form x+6y<12

$x + 6 y < 12$

Step 1

Solve for $y$ .

Subtract $x$ from both sides of the inequality.

$6 y < 12 - x$

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

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

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $12$ by $6$ .

$y < 2 + \frac{- x}{6}$

Move the negative in front of the fraction.

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

Step 2

Rearrange terms.

$y < - \frac{x}{6} + 2$

Step 3

Reorder terms.

$y < - (\frac{1}{6} x) + 2$

Step 4

Remove parentheses.

$y < - \frac{1}{6} x + 2$