Matching Lines To Equations

Does the above look familiar? You give your students an equation, ask them to pick arbitrary points for x in order to solve for y. Then take those points, plot them,  and graph the line. Here's a variation from paper and pencil.

Instead of plotting point, try matching lines with equations  

Bolting two pieces of wood together we create an X, Y coordinate. 

Using a straight stick, the students goal is to hold the stick in a way that represents the line drawn when the points were plotted.