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

$- 2 x + 2 y = 2$

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.

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

$2 y = 2 + 2 x$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $2$ by $2$ .

$y = 1 + \frac{2 x}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$y = 1 + \frac{2 x}{2}$

Divide $x$ by $1$ .

$y = 1 + x$

Reorder $1$ and $x$ .

$y = x + 1$