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

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

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.

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

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

Reorder terms.

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

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

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

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

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