Find the Slope of a Parallel Line y=-1/4x+6

$y = - \frac{1}{4} x + 6$

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 $x$ and $\frac{1}{4}$ .

$y = - \frac{x}{4} + 6$

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

Reorder terms.

$y = - (\frac{1}{4} x) + 6$

Remove parentheses.

$y = - \frac{1}{4} x + 6$

Using the slope-intercept form, the slope is $- \frac{1}{4}$ .

$m = - \frac{1}{4}$

All lines that are parallel to $y = - \frac{1}{4} x + 6$ have the same slope of $- \frac{1}{4}$ .

$m_{parallel} = - \frac{1}{4}$