Parametric Representation of a Line

This GeoGebra example dynamically illustrates the parametric equation of a line in coordinate geometry. It demonstrates how a line can be represented using a point and a direction vector, with a variable parameter tracing all points on the line. Core mathematical concepts include vector algebra, the point-vector form of a line, and the relationship between parametric and Cartesian equations. The construction employs GeoGebra commands such as Line, Vector, and Intersect, along with points P, Q, and direction vector u to enable interactive exploration. It is suitable for high school and early college mathematics, particularly in analytic geometry and vector units, helping students bridge geometric intuition and algebraic formalism.