Pre-Algebra Examples

$13 y = 6.9 x - 2$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Divide each term in $13 y = 6.9 x - 2$ by $13$ and simplify.

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Step 1.2.1

Divide each term in $13 y = 6.9 x - 2$ by $13$ .

$\frac{13 y}{13} = \frac{6.9 x}{13} + \frac{- 2}{13}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $13$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{13 y}{13} = \frac{6.9 x}{13} + \frac{- 2}{13}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{6.9 x}{13} + \frac{- 2}{13}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Factor $6.9$ out of $6.9 x$ .

$y = \frac{6.9 (x)}{13} + \frac{- 2}{13}$

Step 1.2.3.1.2

Factor $13$ out of $13$ .

$y = \frac{6.9 (x)}{13 (1)} + \frac{- 2}{13}$

Step 1.2.3.1.3

Separate fractions.

$y = \frac{6.9}{13} \cdot \frac{x}{1} + \frac{- 2}{13}$

Step 1.2.3.1.4

Divide $6.9$ by $13$ .

$y = 0.5\overline{307692} \frac{x}{1} + \frac{- 2}{13}$

Step 1.2.3.1.5

Divide $x$ by $1$ .

$y = 0.5\overline{307692} x + \frac{- 2}{13}$

Step 1.2.3.1.6

Move the negative in front of the fraction.

$y = 0.5\overline{307692} x - \frac{2}{13}$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

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Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 0.5\overline{307692}$

$b = - \frac{2}{13}$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $0.5\overline{307692}$

y-intercept: $(0, - \frac{2}{13})$

Slope: $0.5\overline{307692}$

y-intercept: $(0, - \frac{2}{13})$

Step 3