Find the Slope of a Parallel Line y=-5/6x+3

$y = - \frac{5}{6} x + 3$

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.

Simplify each term.

Combine $x$ and $\frac{5}{6}$ .

$y = - \frac{x \cdot 5}{6} + 3$

Move $5$ to the left of $x$ .

$y = - \frac{5 x}{6} + 3$

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

Reorder terms.

$y = - (\frac{5}{6} x) + 3$

Remove parentheses.

$y = - \frac{5}{6} x + 3$

Step 2

Using the slope-intercept form, the slope is $- \frac{5}{6}$ .

$m = - \frac{5}{6}$

Step 3

All lines that are parallel to $y = - \frac{5}{6} x + 3$ have the same slope of $- \frac{5}{6}$ .

$m_{parallel} = - \frac{5}{6}$

Step 4