Algebra Examples

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

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.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $8 x - 4 y$ and $2$ .

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Step 2.1.1.1

Factor $2$ out of $8 x$ .

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

Step 2.1.1.2

Factor $2$ out of $- 4 y$ .

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

Step 2.1.1.3

Factor $2$ out of $2 (4 x) + 2 (- 2 y)$ .

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

Step 2.1.1.4

Cancel the common factors.

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Step 2.1.1.4.1

Factor $2$ out of $2$ .

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

Step 2.1.1.4.2

Cancel the common factor.

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

Step 2.1.1.4.3

Rewrite the expression.

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

Step 2.1.1.4.4

Divide $4 x - 2 y$ by $1$ .

$4 x - 2 y = x + 2$

Step 2.2

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

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Step 2.2.1

Subtract $4 x$ from both sides of the equation.

$- 2 y = x + 2 - 4 x$

Step 2.2.2

Subtract $4 x$ from $x$ .

$- 2 y = - 3 x + 2$

Step 2.3

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

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Step 2.3.1

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

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

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $- 2$ .

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Step 2.3.2.1.1

Cancel the common factor.

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

Step 2.3.2.1.2

Divide $y$ by $1$ .

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

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Dividing two negative values results in a positive value.

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

Step 2.3.3.1.2

Divide $2$ by $- 2$ .

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

Step 2.4

Reorder terms.

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