Question

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

Answer 1

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`.