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

1 Answer
Jun 22, 2015

The slope is #2/3#

Explanation:

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

#y = mx + 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 = 2/3x + -4#

Comparing with the standard slope-intercept form, we can see that the slope is #2/3# and the intercept #-4#.