The picture above was created using Desmos, a free to use graphing application. I created this imagine to use in a lesson about solving linear systems. I wanted an image that students could easily recognize and create equation from. The picture can be aligned with CCSS.Math.HS.A-REI.6, “Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.” The picture can be used in a task that has students find equations for the lines and finding the ordered pair for the intersection. Students can then find a think about a way to find the ordered pair algebraically.

The picture is a nice starting place for this learning. It gives students a visual representation of the solving systems concept, and it has students build up from what they already know.

Here is the lesson plan and associated worksheet for the picture above.