Standard Form

You are able to manipulate the line by using the sliders to move points R and S. Please answer the questions below.
*Notice the general form of standard form and the equation of the line in standard form. Note the variables (A,B,C) and their corresponding values. (1.) Find the quotient of C and B. How does this value correspond to the line? Move slider b to 1 for a hint. (2.) Find the quotient of C and A. How does this value correspond to the line? Move slider b to 2 for a hint. (3.) Move points R and S and answer questions 1 and 2 again. (3.) What is special about points R and S? What are these points called? (4.) Using the above information, what is the benefit of Standard Form?