# Line

Suppose are two points in . Then the line passing through them is defined as follows:

# Affine set

The set is called **affine** if for any from the line passing through them also lies in , i.e.

## Examples:

- The set of solutions

# Related definitions

## Affine combination

Let we have , then the point is called affine combination of if

## Affine hull

The set of all affine combinations of points in set is called the affine hull of :

- The set is the smallest affine set containing .