7.1 Equivalent Ratios: Straight Line Through Origin

This applet demonstrates that when equivalent ratios are graphed as coordinate points, they form a straight line passing through the origin. The core mathematical concept is proportional reasoning and linear relationships, showing that a constant ratio between two quantities yields a linear graph. Construction details: The applet uses the GeoGebra Line command to draw the line, and defines multiple points (A, B, C, D, E) with their numerators and denominators (e.g., Anumerator, Adenominator) to generate coordinates for equivalent ratios. Sliders (like a) and text objects (text1, text2) allow dynamic exploration of ratio changes. Suitable for middle school mathematics lessons on ratios, direct proportion, and graphing linear functions, as well as for classroom demonstrations or student self-study.