Write in Slope-Intercept Form 2x+3y<=6

$2 x + 3 y \leq 6$

Solve for $y$ .

Subtract $2 x$ from both sides of the inequality.

$3 y \leq 6 - 2 x$

Divide each term in $3 y \leq 6 - 2 x$ by $3$ and simplify.

Divide each term in $3 y \leq 6 - 2 x$ by $3$ .

$\frac{3 y}{3} \leq \frac{6}{3} + \frac{- 2 x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} \leq \frac{6}{3} + \frac{- 2 x}{3}$

Divide $y$ by $1$ .

$y \leq \frac{6}{3} + \frac{- 2 x}{3}$

Simplify the right side.

Simplify each term.

Divide $6$ by $3$ .

$y \leq 2 + \frac{- 2 x}{3}$

Move the negative in front of the fraction.

$y \leq 2 - \frac{2 x}{3}$

Rearrange terms.

$y \leq - \frac{2 x}{3} + 2$

Reorder terms.

$y \leq - (\frac{2}{3} x) + 2$

Remove parentheses.

$y \leq - \frac{2}{3} x + 2$