Question

Which table represents a linear function?

Answer 1

I don’t see the tables — could you paste them? Meanwhile, here’s how you tell which table represents a linear function.

Quick test
- If the x-values increase by equal steps (e.g., +1 each row), check the differences in the y-values. If the differences are all equal, the table is linear.
- If the x-steps are not equal, compute the slope between pairs: (y2 − y1)/(x2 − x1). If that slope is the same for every pair (or every consecutive pair), the relation is linear.

Other notes
- If the same x appears with two different y-values, the table does not represent a (single-valued) function.
- A vertical line (all x equal) is linear but not a function y = f(x).

Examples
- x: 1,2,3,4 and y: 3,5,7,9 → differences of y are 2,2,2 → linear (y = 2x + 1).
- x: 1,2,3,4 and y: 2,4,7,11 → differences 2,3,4 → not linear.

Paste your tables and I’ll check them and give the equation if they’re linear.