# What is the slope of the line represented by the equation y = 2/3 x - 4?

Jun 22, 2015

The slope is $\frac{2}{3}$

#### 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, that is the $y$ coordinate of the intersection of the line with the $y$ axis.

In your example, the equation is (almost) in slope-intercept form. Strictly speaking it should look like this:

$y = \frac{2}{3} x + - 4$

Comparing with the standard slope-intercept form, we can see that the slope is $\frac{2}{3}$ and the intercept $- 4$.