Write in Slope-Intercept Form 6x+2y<=-46

$6 x + 2 y \leq - 46$

Step 1

Solve for $y$ .

Subtract $6 x$ from both sides of the inequality.

$2 y \leq - 46 - 6 x$

Divide each term in $2 y \leq - 46 - 6 x$ by $2$ and simplify.

Divide each term in $2 y \leq - 46 - 6 x$ by $2$ .

$\frac{2 y}{2} \leq \frac{- 46}{2} + \frac{- 6 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} \leq \frac{- 46}{2} + \frac{- 6 x}{2}$

Divide $y$ by $1$ .

$y \leq \frac{- 46}{2} + \frac{- 6 x}{2}$

Simplify the right side.

Simplify each term.

Divide $- 46$ by $2$ .

$y \leq - 23 + \frac{- 6 x}{2}$

Cancel the common factor of $- 6$ and $2$ .

Factor $2$ out of $- 6 x$ .

$y \leq - 23 + \frac{2 (- 3 x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y \leq - 23 + \frac{2 (- 3 x)}{2 (1)}$

Cancel the common factor.

$y \leq - 23 + \frac{2 (- 3 x)}{2 \cdot 1}$

Rewrite the expression.

$y \leq - 23 + \frac{- 3 x}{1}$

Divide $- 3 x$ by $1$ .

$y \leq - 23 - 3 x$

Step 2

Rearrange terms.

$y \leq - 3 x - 23$