Write in y=mx+b Form -2y-2x=x+2

$- 2 y - 2 x = x + 2$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Move all terms not containing $y$ to the right side of the equation.

Add $2 x$ to both sides of the equation.

$- 2 y = x + 2 + 2 x$

Add $x$ and $2 x$ .

$- 2 y = 3 x + 2$

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

Divide $2$ by $- 2$ .

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

Write in $y = m x + b$ form.

Reorder terms.

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

Remove parentheses.

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