A Simple Pythagorean Proof

Observe what happens as you move the two sliders. Answer the questions below.

(1.) Leave m as 1 and move b. Explain how the line is changing. (2.) Leave b as 1 and move m. Explain how the line is changing. (3.) Explain the direction of the line when m is positive and negative. (4.) What type of line do you see when m=0? (5.) What conclusions can you make about the variables m and b?