Pre-Algebra Examples

$2 x - 8 y = 32$

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

Subtract $2 x$ from both sides of the equation.

$- 8 y = 32 - 2 x$

Step 2.2

Divide each term in $- 8 y = 32 - 2 x$ by $- 8$ and simplify.

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Step 2.2.1

Divide each term in $- 8 y = 32 - 2 x$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{32}{- 8} + \frac{- 2 x}{- 8}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 8$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{32}{- 8} + \frac{- 2 x}{- 8}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{32}{- 8} + \frac{- 2 x}{- 8}$

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 $32$ by $- 8$ .

$y = - 4 + \frac{- 2 x}{- 8}$

Step 2.2.3.1.2

Cancel the common factor of $- 2$ and $- 8$ .

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Step 2.2.3.1.2.1

Factor $- 2$ out of $- 2 x$ .

$y = - 4 + \frac{- 2 (x)}{- 8}$

Step 2.2.3.1.2.2

Cancel the common factors.

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Step 2.2.3.1.2.2.1

Factor $- 2$ out of $- 8$ .

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

Step 2.2.3.1.2.2.2

Cancel the common factor.

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

Step 2.2.3.1.2.2.3

Rewrite the expression.

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

Step 2.3

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

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Step 2.3.1

Reorder $- 4$ and $\frac{x}{4}$ .

$y = \frac{x}{4} - 4$

Step 2.3.2

Reorder terms.

$y = \frac{1}{4} x - 4$