Pre-Algebra Examples

$- 2 x + 2 y = - 2$

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.

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Step 2.1

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

$2 y = - 2 + 2 x$

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $2$ .

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Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide $y$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Divide $- 2$ by $2$ .

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

Step 2.2.3.1.2

Cancel the common factor of $2$ .

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Step 2.2.3.1.2.1

Cancel the common factor.

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

Step 2.2.3.1.2.2

Divide $x$ by $1$ .

$y = - 1 + x$

Step 2.3

Reorder $- 1$ and $x$ .

$y = x - 1$