Parametric Point on Segment AB Using Sliders and Coordinate Definitions

This example demonstrates a point C moving along segment AB as its coordinate definition is adjusted by a slider or input values. It highlights coordinate geometry, parametric representation of a line segment, variables, conditional definitions, and dynamic control of geometric objects. Construction notes: Textfield and inputBox1/inputBox2 are used to enter or display parameters, If is used to handle conditions or coordinate definitions, and objects A, B, n, a, b, c support the construction of the moving point C. It is suitable for middle-school to high-school lessons on analytic geometry, introductory parametric equations, and GeoGebra dynamic construction, showing how parameter changes affect a point's position.