Find the Slope of a Parallel Line y=-3/2x-8

$y = - \frac{3}{2} x - 8$

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 each term.

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Combine $x$ and $\frac{3}{2}$ .

$y = - \frac{x \cdot 3}{2} - 8$

Move $3$ to the left of $x$ .

$y = - \frac{3 x}{2} - 8$

Rewrite in slope-intercept form.

$y = - \frac{3}{2} x - 8$

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

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

All lines that are parallel to $y = - \frac{3 x}{2} - 8$ have the same slope of $- \frac{3}{2}$ .

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

Find the Slope of a Parallel Line y=-3/2x-8

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