From the given points that are (3,1),(9,3),(27,9), we can say that x is three times of y. That is
x= 3y
And we need to solve for y. For that, we need to get rid of 3 from the right side by dividing both sides by 3 . And on doing so , we will get


or

This is an exponential function.
If x = 0, 2^x = 2^0 = 1. The beginning value of 2^x is 1 and the beginning value of 51*2^x is 51.
Make a table and graph the points:
x y=51*2^x point (x,y)
-- --------------- ---------------
0 51 (0,51)
2 51*2^2 = 51(4) = 204 (2,204) and so on.
The graph shows up in both Quadrants I and II. Its y-intercept is (0,51). Its slope is always positive.
Depending on how far it goes up and over up/run is the m and the y is were it touches the y axis