Precalculus Examples

$y = \frac{- 2}{5} x - 3$

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

Simplify each term.

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Step 1.2.1.1

Move the negative in front of the fraction.

$y = - \frac{2}{5} x - 3$

Step 1.2.1.2

Combine $x$ and $\frac{2}{5}$ .

$y = - \frac{x \cdot 2}{5} - 3$

Step 1.2.1.3

Move $2$ to the left of $x$ .

$y = - \frac{2 x}{5} - 3$

Step 1.3

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

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Step 1.3.1

Reorder terms.

$y = - (\frac{2}{5} x) - 3$

Step 1.3.2

Remove parentheses.

$y = - \frac{2}{5} x - 3$

Step 2

Using the slope-intercept form, the slope is $- \frac{2}{5}$ .

$m = - \frac{2}{5}$

Step 3