Pre-Algebra Examples

$- 6 x + 13 y = - 2$

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

Add $6 x$ to both sides of the equation.

$13 y = - 2 + 6 x$

Step 2.2

Divide each term in $13 y = - 2 + 6 x$ by $13$ and simplify.

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Step 2.2.1

Divide each term in $13 y = - 2 + 6 x$ by $13$ .

$\frac{13 y}{13} = \frac{- 2}{13} + \frac{6 x}{13}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $13$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{13 y}{13} = \frac{- 2}{13} + \frac{6 x}{13}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 2}{13} + \frac{6 x}{13}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Move the negative in front of the fraction.

$y = - \frac{2}{13} + \frac{6 x}{13}$

Step 2.3

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

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Step 2.3.1

Reorder $- \frac{2}{13}$ and $\frac{6 x}{13}$ .

$y = \frac{6 x}{13} - \frac{2}{13}$

Step 2.3.2

Reorder terms.

$y = \frac{6}{13} x - \frac{2}{13}$