Definition:Rational Point in Plane

Definition
Consider the Cartesian plane $\R^2$.

The points $\tuple {x, y} \in \R^2$ such that $x, y \in \Q$ are called the rational points (of $\R^2$).

Also known as
A rational point can also occasionally be seen referred to as a rational lattice point, but this is rare, and may easily cause confusion with the concept of a lattice point.