Write in Slope-Intercept Form -6x+2y<=42

$- 6 x + 2 y \leq 42$

Solve for $y$ .

Add $6 x$ to both sides of the inequality.

$2 y \leq 42 + 6 x$

Divide each term in $2 y \leq 42 + 6 x$ by $2$ and simplify.

Divide each term in $2 y \leq 42 + 6 x$ by $2$ .

$\frac{2 y}{2} \leq \frac{42}{2} + \frac{6 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} \leq \frac{42}{2} + \frac{6 x}{2}$

Divide $y$ by $1$ .

$y \leq \frac{42}{2} + \frac{6 x}{2}$

Simplify the right side.

Simplify each term.

Divide $42$ by $2$ .

$y \leq 21 + \frac{6 x}{2}$

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

Factor $2$ out of $6 x$ .

$y \leq 21 + \frac{2 (3 x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y \leq 21 + \frac{2 (3 x)}{2 (1)}$

Cancel the common factor.

$y \leq 21 + \frac{2 (3 x)}{2 \cdot 1}$

Rewrite the expression.

$y \leq 21 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$y \leq 21 + 3 x$

Rearrange terms.

$y \leq 3 x + 21$