Algebra Examples

$y = \frac{1}{4} x - 5$

Step 1

Rewrite in slope-intercept form.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify the right side.

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Combine $\frac{1}{4}$ and $x$ .

$y = \frac{x}{4} - 5$

Reorder terms.

$y = \frac{1}{4} x - 5$

Step 2

Using the slope-intercept form, the slope is $\frac{1}{4}$ .

$m = \frac{1}{4}$

Step 3

All lines that are parallel to $y = \frac{1}{4} x - 5$ have the same slope of $\frac{1}{4}$ .

$m_{parallel} = \frac{1}{4}$

Step 4