# What is the slope of Y=-1/4x+2?

Jun 19, 2015

This equation is already in slope-intercept form, so you can read the slope as the coefficient of $x$, that is $- \frac{1}{4}$

#### Explanation:

The slope-intercept form of the equation of a line is:

$y = m x + c$

where $m$ is the slope and $c$ is the intercept (with the $y$ axis).

Any line parallel to this line will have the same slope $- \frac{1}{4}$.

Any line perpendicular to it will have slope $- \frac{1}{m} = 4$