Many programs require a mathematical function capable of mapping an interval of numbers linearly onto another interval. A function maps one interval linearly onto another.
The interval can be mapped to using .
The function can be thought of as a linear function that passes through the points and . This means that the function should map to and to .
With two points the slope can be obtained and the function can be written and simplified.
The function can be verified to ensure a correct mapping of to .
The same can be done to ensure maps to .