How to Find:
Slope Intercept Rise over Run
Where to start:
Given two points (x1, y1) and(x2, y2), the formula for the slope of the straight line going through these two points is:
...where the subscripts merely indicate that you have a "first" point (whose coordinates are subscripted with a "1") and a "second" point (whose coordinates are subscripted with a "2"); that is, the subscripts indicate nothing more than the fact that you have two points to work with. Note that the point you pick as the "first" one is irrelevant; if you pick the other point to be "first", then you get the same value for the slope:
To get to the "next" point, we can go up another two (to y = –2), and over to the right another three (to x = 3):
With these three points, we can graph the line y = ( 2/3 )x – 4.