Write in Slope-Intercept Form -x+3y>6

$- x + 3 y > 6$

Solve for $y$ .

Add $x$ to both sides of the inequality.

$3 y > 6 + x$

Divide each term in $3 y > 6 + x$ by $3$ and simplify.

Divide each term in $3 y > 6 + x$ by $3$ .

$\frac{3 y}{3} > \frac{6}{3} + \frac{x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} > \frac{6}{3} + \frac{x}{3}$

Divide $y$ by $1$ .

$y > \frac{6}{3} + \frac{x}{3}$

Simplify the right side.

Divide $6$ by $3$ .

$y > 2 + \frac{x}{3}$

Rearrange terms.

$y > \frac{x}{3} + 2$

Reorder terms.

$y > \frac{1}{3} x + 2$