How can you write the equation for a linear function if you know only two ordered pairs for the function

Answer 1

There are several ways to attack this problem; here is one way.

Call the points (u,v) and (p,q)

The slope of the line joining these points is m = (q-v)/(p-u) .... rise/run!

Then the equation is m = (y-v)/(x-u) OR m = (y-q)/(x-p)...this is the point slope form

and if you write out the form without using the m, it is called the 2 point form.