Suppose f is a linear function with f(2) = 5 and f(6) = -1. Describe how you can find the slope of the graph of f.

To find the slope of the graph of f, you would have to make two coordinates from each of them which would be (2,5) and (6,-1), then use the formula y₂- y₁ over x₂ - x₁ to get the slope of f for your answer.  

So, we have the points (2,5) and (6,-1).

I have a "nonstandard" method for finding slope.

Put the points one over another - it doesn't matter which point goes over the other - like this:

(2 , 5)

(6 , -1)

Now, just "subtract" the second from the first. This gives:

(-4 , 6)

Now, put the first thing "under" the second.........6 /-4  = -3 / 2 and there's the slope !!!

I would like this to be shown on a diagram.  The logic behind the formula is beneficial.

http://www.mathsisfun.com/algebra/line-equation-2points.html

This comes somewhere close to what I would like to show you.  (time is always a factor - sorry)