Pre-Algebra Examples

$5 x - 15 y = - 8$

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

Subtract $5 x$ from both sides of the equation.

$- 15 y = - 8 - 5 x$

Step 2.2

Divide each term in $- 15 y = - 8 - 5 x$ by $- 15$ and simplify.

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Step 2.2.1

Divide each term in $- 15 y = - 8 - 5 x$ by $- 15$ .

$\frac{- 15 y}{- 15} = \frac{- 8}{- 15} + \frac{- 5 x}{- 15}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 15$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 15 y}{- 15} = \frac{- 8}{- 15} + \frac{- 5 x}{- 15}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 8}{- 15} + \frac{- 5 x}{- 15}$

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

Dividing two negative values results in a positive value.

$y = \frac{8}{15} + \frac{- 5 x}{- 15}$

Step 2.2.3.1.2

Cancel the common factor of $- 5$ and $- 15$ .

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Step 2.2.3.1.2.1

Factor $- 5$ out of $- 5 x$ .

$y = \frac{8}{15} + \frac{- 5 (x)}{- 15}$

Step 2.2.3.1.2.2

Cancel the common factors.

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Step 2.2.3.1.2.2.1

Factor $- 5$ out of $- 15$ .

$y = \frac{8}{15} + \frac{- 5 (x)}{- 5 (3)}$

Step 2.2.3.1.2.2.2

Cancel the common factor.

$y = \frac{8}{15} + \frac{- 5 x}{- 5 \cdot 3}$

Step 2.2.3.1.2.2.3

Rewrite the expression.

$y = \frac{8}{15} + \frac{x}{3}$

Step 2.3

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

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Step 2.3.1

Reorder $\frac{8}{15}$ and $\frac{x}{3}$ .

$y = \frac{x}{3} + \frac{8}{15}$

Step 2.3.2

Reorder terms.

$y = \frac{1}{3} x + \frac{8}{15}$