Direct Proportion

y = kx

On a graph this is just a straight line where k is the gradient.

Direct Proportion with powers: y = kxn

You should be familiar with the following graphs from your GCSE Maths algebra worksheets.

y = x2 

Notice what happens as you k gets bigger:

y = x3

Notice what happens when k gets bigger:

 

 

Indirect Proportion

y = k/x

You should be familiar with the following graphs

y = 1/x

Notice what happens if k gets bigger:

Inverse Proportions with powers:

y = 1/x2

Notice what happens if k increases:

 

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