Algebra Examples

$10 x - 8 y = 4 x - 8$

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

Subtract $10 x$ from both sides of the equation.

$- 8 y = 4 x - 8 - 10 x$

Step 2.1.2

Subtract $10 x$ from $4 x$ .

$- 8 y = - 6 x - 8$

Step 2.2

Divide each term in $- 8 y = - 6 x - 8$ by $- 8$ and simplify.

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Step 2.2.1

Divide each term in $- 8 y = - 6 x - 8$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{- 6 x}{- 8} + \frac{- 8}{- 8}$

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.

$\frac{- 8 y}{- 8} = \frac{- 6 x}{- 8} + \frac{- 8}{- 8}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 6 x}{- 8} + \frac{- 8}{- 8}$

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

Cancel the common factor of $- 6$ and $- 8$ .

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Step 2.2.3.1.1.1

Factor $- 2$ out of $- 6 x$ .

$y = \frac{- 2 (3 x)}{- 8} + \frac{- 8}{- 8}$

Step 2.2.3.1.1.2

Cancel the common factors.

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Step 2.2.3.1.1.2.1

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

$y = \frac{- 2 (3 x)}{- 2 (4)} + \frac{- 8}{- 8}$

Step 2.2.3.1.1.2.2

Cancel the common factor.

$y = \frac{- 2 (3 x)}{- 2 \cdot 4} + \frac{- 8}{- 8}$

Step 2.2.3.1.1.2.3

Rewrite the expression.

$y = \frac{3 x}{4} + \frac{- 8}{- 8}$

Step 2.2.3.1.2

Divide $- 8$ by $- 8$ .

$y = \frac{3 x}{4} + 1$

Step 2.3

Reorder terms.

$y = \frac{3}{4} x + 1$