Write in Slope-Intercept Form -5x+6y>=-48

$- 5 x + 6 y \geq - 48$

Solve for $y$ .

Add $5 x$ to both sides of the inequality.

$6 y \geq - 48 + 5 x$

Divide each term in $6 y \geq - 48 + 5 x$ by $6$ and simplify.

Divide each term in $6 y \geq - 48 + 5 x$ by $6$ .

$\frac{6 y}{6} \geq \frac{- 48}{6} + \frac{5 x}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} \geq \frac{- 48}{6} + \frac{5 x}{6}$

Divide $y$ by $1$ .

$y \geq \frac{- 48}{6} + \frac{5 x}{6}$

Simplify the right side.

Divide $- 48$ by $6$ .

$y \geq - 8 + \frac{5 x}{6}$

Rearrange terms.

$y \geq \frac{5 x}{6} - 8$

Reorder terms.

$y \geq \frac{5}{6} x - 8$