The ordered pairs below represent a relation between x and y.(-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12)Could this set of ordered pairs have been generated by a linear function?

Question

mertsj · Answer

you could choose two of the points and write the equation of the line joining those points.
Then plug in the other points and see if they make the sentence true.

mertsj · Answer

Let's choose (1,9) and (2,12)
The slope if 12-9/2-1 or 3

mertsj · Answer

y-9=3(x-1)
y=3x+6

mertsj · Answer

Now plug in the other points and see if they are on that line.

anonymous · Answer

can you just give me the final answer & why?

mertsj · Answer

did you plug in the other points?

mertsj · Answer

They all work.  so yes, those points are collinear.

mertsj · Answer

Because they all make the sentence y=3x+6 true