Simplifying Ratios: Geometric Demonstration of Coordinate Trajectories

This example demonstrates that when a ratio is simplified, the resulting coordinates form a line through the origin. Key mathematical concepts include ratio simplification, coordinate geometry, and locus analysis. Construction involves GeoGebra commands like Line, GCD, and Segment using objects such as seed_1, seed_2, and multiplier_1. Suitable for middle school students learning the application of ratios in coordinate geometry.