Step by step
The question
Question: is this table linear: x is 0, 1, 2, 3, and y is 10, 8, 6, 4?
x: 0, 1, 2, 3; y: 10, 8, 6, 4
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: minus 2, then minus 2, then minus 2.
The same number every time.
So it is linear.
= always −2 → 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 −2 → linear