Parallel Lines
- Author:
- debbie.steffen, KCM
Lines 1 and 2 can be manipulated by moving the corresponding sliders. Please answer the questions below. Remember that parallel lines have the same (slope, coefficient, constant rate, or M)
(1.) Move the sliders until you make the two lines parallel. What do you notice about the equations of the lines?
(2.) Change the equation of Line 1 to y = 2x + 1. Make a prediction: what does the equation of Line 2 need to be in order for the lines to be parallel. Test that prediction.
(3.) Write down 3 more equations that would each be parallel to line 1.
(4) Change the equation of line 1 to y=-4x+1. Make a prediction: what does the equation of Line 2 need to be in order for the lines to be parallel. Test that prediction.
(5. Write down 3 more equations that would each be parallel to Line 1