Practice for Systems of Two Linear Equations: Solving via Line Intersections

This GeoGebra example demonstrates how a system of two linear equations can be solved by graphing the corresponding lines and locating their intersection point(s). It focuses on key concepts such as two-variable linear equations, linear equation systems, representing equations as lines in the coordinate plane, and interpreting the number and position of intersections as the type of solution (unique solution when lines intersect, different behaviors when they are parallel or coincident). The construction is organized with a “NextExercise” workflow to move through multiple problems, uses parameter objects (a, b, c, d, e, f) to define different equations, and employs text objects (e.g., 텍스트1_1, 텍스트1_2, 텍스트1_3) plus a button (按钮1) to guide and display the exercise steps. The inclusion of control variables (p, n) supports randomized or sequential practice. Suitable for middle to high school learners and for interactive homework, revision, and self-assessment connecting algebraic solutions to geometric meaning.