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Is y = x proportional

Step by step, with the reason for every step · Proportional relationships · Foundations

Step by step

The question

Question: is y = x proportional?

y = x

Proportional means: y divided by x is always the same number.

We call that number k.

Then y = k times x.

proportional: y ÷ x is always the same
k = y ÷ x, y = kx

1 Look at the equation

It is y = k x, with nothing added.

k = 1.

= y = x → y = kx, k = 1

So it is proportional.

= proportional

2 Check

Let's check on a graph.

We put the points on the grid.

They lie on a straight line through (0, 0).

That is the picture of proportional.

So the answer is right!

Let's look back.

First: look at the equation.

Last: check.

Answer
= proportional

Your turn

Try this one yourself, then check:

Is y = 5x
Show the answer
proportional

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