Magic Point 9: Move a Point Between A and B Using a Slider

This example demonstrates moving a point between points A and B using a slider that adjusts the point's coordinate definitions, illustrating linear interpolation and parametric equations. Core concepts include coordinate geometry, vector operations, and the midpoint formula. The GeoGebra construction uses Textfield and If commands, with input boxes controlling parameters n, a, b to dynamically compute point C. It is suitable for high‑school algebra and geometry students and anyone learning parametric motion.