Dependent System of Linear Equations

This example visualizes the geometric meaning of a dependent system of linear equations: when two linear equations represent the same line, the system has infinitely many solutions, all lying on that common line. The core mathematical concept is the classification of solutions to linear systems (unique, none, or infinitely many), and the geometric condition that proportional coefficients correspond to coincident lines. Construction highlights: using GeoGebra's Point command to create point objects, along with functions f, g and points A, D, C, B, E, F, G to construct two overlapping lines, clearly demonstrating the dependent system. Suitable for high school or early college students learning linear algebra or analytic geometry, helping to connect the algebraic structure of solution sets with geometric intuition.