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Linear or not: x 0, 1, 2, 3; y 4, 7, 10, 13

Step by step, with the reason for every step · Linear or not · Algebra 1

Step by step

The question

Question: is this table linear: x is 0, 1, 2, 3, and y is 4, 7, 10, 13?

x: 0, 1, 2, 3; y: 4, 7, 10, 13

Linear means: a straight line.

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

linear = y changes by the same amount
for each 1 of x

We write it as a table.

1 Check the changes

From one y to the next: plus 3, then plus 3, then plus 3.

The same number every time.

So it is linear.

= always 3 → linear

2 Check

Let's check on a graph.

We put in the points.

They are all on one straight line.

So the answer is right!

Let's look back.

First: check the changes.

Last: check.

Answer
= always 3 → linear

Your turn

Try this one yourself, then check:

Is this table linear: x: 0, 1, 2, 3; y: 1, 4, 7, 10
Show the answer
linear

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