Precalculus Examples

$p = 15 - \frac{1}{4} q$

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

Simplify the right side.

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Step 1.2.1

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

$p = 15 - \frac{q}{4}$

Step 1.3

Arrange the polynomial to follow the $y = m x + b$ form for slope and y-intercept.

$p = - \frac{q}{4} + 15$

Step 1.4

Rewrite in slope-intercept form.

$y = - \frac{1}{4} q + 15$

Step 2

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

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

Step 3