Find the Slope of a Parallel Line y=5/7x+3

$y = \frac{5}{7} x + 3$

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 $\frac{5}{7}$ and $x$ .

$y = \frac{5 x}{7} + 3$

Reorder terms.

$y = \frac{5}{7} x + 3$

Step 2

Using the slope-intercept form, the slope is $\frac{5}{7}$ .

$m = \frac{5}{7}$

Step 3

All lines that are parallel to $y = \frac{5}{7} x + 3$ have the same slope of $\frac{5}{7}$ .

$m_{parallel} = \frac{5}{7}$

Step 4