Linear or not: x 1, 3, 5, 7; y 2, 8, 14, 20

Step by step

The question

Question: is this table linear: x is 1, 3, 5, 7, and y is 2, 8, 14, 20?

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 6, then plus 6, then plus 6.

x goes up by 2.

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 3, 3, 3.

All the same.

So the answer is right!

Let's look back.

First: check the changes.

Last: check.