“I hope our paths cross again.” If someone tells you this, what does it mean? What path? Let’s think about it. If we were walking towards each other there would be a specific moment that we were in the same spot at the same exact time. This is where our paths would cross. At any other time we would be at different locations. On a grid with two intersecting lines there is a point where the lines intersect (or cross). This point satisfies the equations for both lines at the same time. This is the point of intersection.
Students will find solutions to real world problems by analyzing and creating graphs using linear equations and finding the point of intersection. They will use their understanding of graphing linear equations at the beginning of the activity and work towards using similar graphs to determine the best cost value for adding turf to a training gym.