Standard Form

You are able to manipulate the line by using the sliders to move points R and S. Please answer the questions to the right.

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Athena Matherly, November 10, 2006, Created with GeoGebra






*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. 
  4. What is special about points R and S? These points have a specific name, can you make a guess as to what this name might be? (Hint: this is where the line is "intercepting" what?)
  5. Using the above information, what is the benefit of Standard Form?
In the next worksheet learn all about Horizontal Lines.