The Gradient Function

        

Observations: 

I can see that the gradients have got bigger, the bigger the line.

For example: THE AVERAGE GRADIENT OF y = x is 1

                   THE AVERAGE GRADIENT OF y = x (3 is 9

I can see that each 3 gradients on each line are positive on the lines of y = x (3

y = x  (3             GR 18    GR 8   GR 1

y = 2x (3            GR 32   GR 28  GR 2

y = 3x (3            GR 40  GR 54  GR 3.25

While lines of y = x (2 most of them have negative gradients

y = x                 GR -2  GR -0.8  GR 4

y = 2x (2           GR -14  GR -3  GR 13

y = 3x (2           GR -45  GR 33  GR  27.5

Formula: The formula is gr = a

Conclusion: I have found out that gradients increase when the line is made bigger. Also I have commented on different observations I have seen.