Magic Point 5: Slider-Controlled Point Movement on Segment AB

This GeoGebra example demonstrates how to use a slider to move a point C between two fixed points A and B by dynamically adjusting the point's coordinate definitions. It covers core concepts in coordinate geometry, including point coordinates, parametric representation of points on a segment, conditional logic using the If command, and basic arithmetic operations. The construction employs GeoGebra commands Textfield and If, with objects A, B, n, a, b, inputBox1, C, inputBox2, and c; input boxes and conditional statements define C's coordinates so that it interpolates or moves along AB as slider n changes. Suitable for middle and high school mathematics instruction, classroom demonstrations, and student exploration of dynamic loci and coordinate algebra.