# What are linear functions?

##### 1 Answer

Dec 16, 2014

A linear function is a function in which the variable x can appear with exponent of 0 or 1 at maximum.

The general form of a linear function is:

y=ax+b

Where a and b are real numbers.

The graph of a linear function is a straight line.

"a" is called slope or gradient and representes the change in y for each change of unity in x. For example, a=5 means that every time x increases of 1, y increases of 5 (in case of "a" negative, y decreases).

"b" representes the point where the line crosses the y axis.

For example, consider: