Could this set of ordered pairs have been generated by a linear function?

Yes, because the relative difference between y values and x values is the same no matter which pairs of (x,y) you use to calculate it

Step-by-step explanation:

Given ordered pairs are

(-3,-3) (-2,0) (-1,3) (0,6), (1,9) , (2,12)

Given ordered pairs is in the form of (x,y)

The x values are increasing by 1 and y values are increasing by 3

It means the difference of any two ordered pairs is a constant.

So, the given relation is a linear function because the relative difference between y values and x values is the same no matter which pairs of (x,y) you use to calculate it