Write in Slope-Intercept Form 3x+2y>-2

$3 x + 2 y > - 2$

Step 1

Solve for $y$ .

Subtract $3 x$ from both sides of the inequality.

$2 y > - 2 - 3 x$

Divide each term in $2 y > - 2 - 3 x$ by $2$ and simplify.

Divide each term in $2 y > - 2 - 3 x$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $- 2$ by $2$ .

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

Move the negative in front of the fraction.

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

Step 2

Rearrange terms.

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

Step 3

Reorder terms.

$y > - (\frac{3}{2} x) - 1$

Step 4

Remove parentheses.

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