Slope of a Line Between Two Points Examples

Find the slope of the line between the points (3, 15) and (5, 30).

It doesn't matter which way we choose a and b, so we'll do it both ways. 

First, take a to be the smaller of the two x values. Here f is the equation of the line. We don't know the equation for f, but we know both points are on the graph of f, which means f(3) = 15 and f(5) = 30.

We have

Then

Second, flip a and b. Then

so

We find the same value for the slope either way.