Proportions of a Segment: Section Formula and Ratio Partition

This GeoGebra applet demonstrates the geometric partition of a directed line segment into a given ratio, visualizing the section formula in coordinate geometry. The core mathematical concepts include the division of a segment in a given ratio, the coordinates of a partition point (section formula), and the relationship between ratios and coordinates. Constructed using the Segment command, the model defines key objects such as endpoints A and B, parameters a, p, q for ratio control, and the dynamically calculated partition point C along with distance d. It is highly suitable for high school students studying coordinate geometry (specifically standard CC_G-GPE-6) to intuitively grasp how ratio changes affect the coordinates of the dividing point.