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

$5 x + 6 y \geq - 48$

Step 1

Solve for $y$ .

Subtract $5 x$ from 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.

Simplify each term.

Divide $- 48$ by $6$ .

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

Move the negative in front of the fraction.

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

Step 2

Rearrange terms.

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

Step 3

Reorder terms.

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

Step 4

Remove parentheses.

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