Find the Slope of a Parallel Line y=-3/2x-7

$y = - \frac{3}{2} x - 7$

Rewrite in slope-intercept form.

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.

Simplify each term.

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

$y = - \frac{x \cdot 3}{2} - 7$

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

$y = - \frac{3 x}{2} - 7$

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

Reorder terms.

$y = - (\frac{3}{2} x) - 7$

Remove parentheses.

$y = - \frac{3}{2} x - 7$

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

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

All lines that are parallel to $y = - \frac{3}{2} x - 7$ have the same slope of $- \frac{3}{2}$ .

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