Pre-Algebra Examples

$4 y - 8 x + 12 = 0$

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

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

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Step 2.1.1

Add $8 x$ to both sides of the equation.

$4 y + 12 = 8 x$

Step 2.1.2

Subtract $12$ from both sides of the equation.

$4 y = 8 x - 12$

Step 2.2

Divide each term in $4 y = 8 x - 12$ by $4$ and simplify.

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Step 2.2.1

Divide each term in $4 y = 8 x - 12$ by $4$ .

$\frac{4 y}{4} = \frac{8 x}{4} + \frac{- 12}{4}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $4$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{8 x}{4} + \frac{- 12}{4}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{8 x}{4} + \frac{- 12}{4}$

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

Cancel the common factor of $8$ and $4$ .

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Step 2.2.3.1.1.1

Factor $4$ out of $8 x$ .

$y = \frac{4 (2 x)}{4} + \frac{- 12}{4}$

Step 2.2.3.1.1.2

Cancel the common factors.

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Step 2.2.3.1.1.2.1

Factor $4$ out of $4$ .

$y = \frac{4 (2 x)}{4 (1)} + \frac{- 12}{4}$

Step 2.2.3.1.1.2.2

Cancel the common factor.

$y = \frac{4 (2 x)}{4 \cdot 1} + \frac{- 12}{4}$

Step 2.2.3.1.1.2.3

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{- 12}{4}$

Step 2.2.3.1.1.2.4

Divide $2 x$ by $1$ .

$y = 2 x + \frac{- 12}{4}$

Step 2.2.3.1.2

Divide $- 12$ by $4$ .

$y = 2 x - 3$