Write a rule for this function:

Question

(-2,1), (0,4)
Also provide an explanation for how you got your answer. Thanks.

Answer 1

There are inifinitely many functions containing those two points. However, the simplest would be a line joining the two points.

The slope of that line is (4-1)/(0+2) = 3/2

Now, at any point (x,y) on the line, the slope of the line joining (x,y) and either of the points, say, (0,4) is also 3/2.

(y-4)/(x-0) = 3/2
y-4 = 3/2 x
y = 3/2 x + 4

Answer 2

2x3=6