# Graphs of proportional relationships

**Graphs of proportional relationships**

When looking at the relationship between two variables it is often useful to construct a table of values to plot a graph.

Looking at these graphs, the following rules are deduced:

- When n = 1,
*y*is directly proportional to*x*. - When
*n*> 1,*y*is directly proportional to*x²*,*x³*or any other positive power of*x*. - When 0 <
*n*< 1,*y*is directly proportional to any*n*th root of*x*. - When n < 0,
*y*is inversely proportional to*x*or any power of*x*.