Precalculus Examples

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

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

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

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Step 1.2.1

Reorder terms.

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

Step 1.2.2

Remove parentheses.

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

Step 2

Using the slope-intercept form, the slope is $- \frac{3}{2}$ .

$m = - \frac{3}{2}$

Step 3

All lines that are parallel to $y = - \frac{3}{2} x + 4$ have the same slope of $- \frac{3}{2}$ .

$m_{parallel} = - \frac{3}{2}$

Step 4