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 be a linear function and why?!

Question

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 be a linear function and why?!

anonymous · 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.

anonymous · Answer

The easy way to figure it out, is by graphing the coordinates.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

They all work. so yes, those points are collinear.

Because they all make the sentence y=3x+6 true

anonymous · Answer

Yes, but would it be because of the distance between consecutive x values are constant ?

anonymous · Answer

Yes. Correct!

anonymous · Answer

Thanks

anonymous · Answer

Dont forget to medal!