Linear or not: x 0, 5, 10, 15; y 2, 4, 6, 8

Step by step

The question

Question: is this table linear: x is 0, 5, 10, 15, and y is 2, 4, 6, 8?

Linear means: a straight line.

y changes by the same amount every time x goes up by 1.

We write it as a table.

1 Check the changes

From one y to the next: plus 2, then plus 2, then plus 2.

x goes up by 5.

So we divide each change of y by the change of x.

The same number every time.

So it is linear.

2 Check

Let's check: the changes for each 1 of x are 0.4, 0.4, 0.4.

All the same.

So the answer is right!

Let's look back.

First: check the changes.

Last: check.