A point of intersection is any point where two lines or curves meet. An example of this is the point where the $x\text{-}$ and $y\text{-}$axes intersect in a coordinate system, also known as the origin.

The notion of a point of intersection can be used to solve a system of equations. For example, a system of two linear equations can be represented by two lines; any point that is on both lines satisfies both linear equations, so any point of intersection represents a solution to the system.