Points on Two Lines – Simultaneous Equations Demo

① This example shows the intersection point of two lines in the plane and illustrates that each line equation has infinitely many solutions, while only the intersection satisfies both equations simultaneously. ② Core concepts include analytic geometry line equations, systems of linear equations, and solving for intersection coordinates. ③ Construction uses GeoGebra commands Intersect, Line, Segment, OrthogonalLine, and creates objects such as points Position, A, B, C and text labels. ④ Suitable for middle‑school (grade 8) to early high‑school coordinate geometry lessons, as well as self‑study or classroom demonstration of the geometric meaning of simultaneous equations.