Asked by Angie

Is the relationship between y and x linear?

x y
0 2
4 5
8 8
12 11

i don't think it's linear.
Answered by Count Iblis
Why not?
Answered by Angie
because i can't write an equation for y.
Answered by Count Iblis
If you assume that Y is linear, then you can write down an equation. Then you take the first two points to completely fix the undetermined constants in that equation.

Then you have arrived at the following conclusion:

Assuming that the relation is linear, y is given in terms of x as follows...



Then you check if the other points are consistent with this equation. If the relation is linear, they must be consistent with that equation. So, if it is not, then the relation cannot be linear.
Answered by Angie
I don't think y is linear. If it is, what's the equation? y=.....
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