Draggable Intercepts for Standard-Form Graphing

This example demonstrates how to graph a standard-form relationship by using draggable intercepts, showing how moving key points updates the resulting line/graph in real time. The key math ideas are graphing via coordinate geometry, the role of intercepts in defining a function’s position, and representing algebraic parameters through interactive geometric construction. Construction-wise, it creates Point objects (A, B) that can be dragged, and uses a Line object (g) determined by those points; a Text object (text1) is used for labeling or displaying the current standard-form information. Suitable for middle and high school learning of function graphs and linear relationships, and for classroom demonstrations or interactive practice where students connect formula parameters to visual graph changes.