On Both Lines

For the next several lessons, students will study systems of linear equations where there is an initial value and a rate of change. The equations in the system are in the form `y=mx+b`. Such contexts are useful in thinking about the meaning of the solution to the system. In this lesson, students are introduced to the graphical interpretation of such systems. Keeping the graphs in mind will be useful as students navigate algebraic techniques for solving systems in the lessons to come.

By Desmos Classroom

Learning goals: Learning Goals • Create a graph that represents two linear relationships in context, and interpret the point of intersection. • Interpret a graph of two equivalent lines in context. Materials • Tools for creating a visual display • Straightedge • Graph paper