Parallel and Perpendicular Line Investigation
1. Look at the three lines and their equations color coded red, green and blue.
Find the following:
Red Line m = ________ b = _________
Blue Line m = ________ b = _________
Green Line m = ________ b = ________
2. Move Point B to (1, 4) and find the following:
Red Line m = ________ b = _________
Blue Line m = ________ b = _________
Green Line m = ________ b = ________
3. Move Point B to (3, 1) and find the following:
Red Line m = ________ b = _________
Blue Line m = ________ b = _________
Green Line m = ________ b = ________
4. What do you notice about the slopes (m) of the lines?
Slopes of parallel lines are ________________.
Slopes of perpendicular lines are _______________ and ________________.
5. Move Point B to the origin (0, 0) and write the equations for the:
Red Line
Blue Line
Green Line
6. What conclusions can you make based on the equations from part 5?