Visualizing a System of Linear Equations: Intersection of Two Lines

① This example dynamically visualizes a system of two linear equations, where the solution corresponds to the intersection point of the two lines. ② Core mathematical concepts include linear equations, slope and intercept, solving systems of equations (unique, no, or infinite solutions), and coordinate geometry of intersection points. ③ Construction highlights: The GeoGebra command Intersect is used to find the intersection point B of two lines defined by parameters m_1, b_1, a, m_2, b_2, b; the xcoordinate and ycoordinate objects extract the coordinates of B, while text1, text2, and text3 display the equations and coordinate values, allowing real-time updates as parameters change. ④ Suitable for middle school to high school students learning systems of linear equations, analytic geometry, or the connection between algebra and geometry; also useful for teachers creating interactive lessons to illustrate the geometric meaning of solutions.