Magic Point 11: Slider Moves Point Between A and B

This example demonstrates a dynamic construction where a slider controls a point C that travels continuously between two fixed points A and B, showing real‑time coordinate updates. The core mathematics includes linear interpolation in coordinate geometry, parametric equations, continuity, and the visualisation of a function graph. Construction highlights: Textfield objects create input boxes; an If statement evaluates the slider value; points A, B, n, a, b, c are defined; inputBox1 and inputBox2 capture user‑entered coordinate expressions; point C is then defined to move with the slider n. It is suitable for high‑school analytic geometry and function lessons, as well as introductory university courses on parametric line segments.