# Linear Interpolation

## Linear Interpolation

Method that consists of determining a new value using the construction rule for a table of numerical values.

### Example

Consider the function defined by $$f(x) = 2x − 1$$.

 x −3 −1 1 3 4 5 f(x) −7 −3 1 5 7 9

Given $$x$$ = 10, linear interpolation can be used to determine that $$f(x) = 19$$.