Intersection between a line and a curve

This example demonstrates how the discriminant of a quadratic equation reflects the number of intersection points between a line and a curve. It involves core math concepts like discriminants, polynomial functions, and quadratic equations. Constructed using GeoGebra commands such as Point, Intersect, and Simplify, with objects like curve C, point A, line L, intersection points P_1/P_2, midpoints M/N, etc. Suitable for high school coordinate geometry education to illustrate the relationship between discriminants and intersection counts.