Find the Slope of a Parallel Line y=1/3x+7

$y = \frac{1}{3} x + 7$

Step 1

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 $\frac{1}{3}$ and $x$ .

$y = \frac{x}{3} + 7$

Reorder terms.

$y = \frac{1}{3} x + 7$

Step 2

Using the slope-intercept form, the slope is $\frac{1}{3}$ .

$m = \frac{1}{3}$

Step 3

All lines that are parallel to $y = \frac{1}{3} x + 7$ have the same slope of $\frac{1}{3}$ .

$m_{parallel} = \frac{1}{3}$

Step 4