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Hello there!

Linear functions have a continuous pattern in their x and y values.

Let's see the first table.

0, 1, 2, 3

We add 1 every time.

-3, -2, 0, 3

We add 1, add 2, add 3.

That's not a linear function, because it doesn't have a continuous pattern in its y values.

Let's look at the next table.

0, 1, 2, 3

We add 1 every time.

1, 4, 3, 7

We add 3, subtract 1, add 3

That's not a linear function as well.

Now, let's look at the third table:

0, 1, 2, 3

We still add 1.

2, 0, -2, -4

We subtract 2 every time.

So this is a linear function. Hope this helps!

~Just a cheerful teen

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a. is correct