Using the Geometer's Sketch Pad activity included, investigtigate the possible types or categories of linear systems by the number of solutions they have.
Click HERE to open the GSP activity.
Activity 1
Using the movement buttons in the GSP sketch, determine and describe all possible categories of linear functions. List at least one example of each type of linear system that you discovered in your investigation.
Activity 2
In each of your examples from activity 1, approximate the point(s) of intersection(s) of the lines . Now solve the each of the systems and see how good your approximations are.