Question

Which table shows a linear function?

O
X
-5
-3
7-1
1
2
X
-4
-3
-2
X
-5
-3
W-1
0
2
1-3
-2
2
15
3
0
-3
-5
y
1-2
20235
5
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Answer 1

Explanation:

it seems you did not show us all tables (we see the top of another table at the bottom of the picture).

however, the third table is a linear function.

the reason : the change in y from one point to another must be constant in remain to the change in x.

the first 3 points have the same difference in x (+2) and the same difference in y (also +2).

then x changes by only +1, but y also changes by +1, so their charge ratio stays the same.

then x changes again by +2, and y also changes by +2, so, again the y/x change ratio stays the same.