Demo Lesson- Investigating Parallel and Perpendicular Lines
Investigating Parallel and Perpendicular Lines
Exploring Parallel Lines
- Take a moment and explore the relationship between the slopes, the graph, and parallel lines.
- Using the sliders for the slope and y-intercept, investigate the effects of increasing and decreasing the slope of the pink line on the graph of the line.
- Check the "Parallel Line" and "Parallel Line Slope" boxes and repeat steps A and B with the parallel lines.
- Answer the questions below regarding your exploration findings.
Perpendicular Lines
Check the perpendicular line box and the perpendicular line slope box, then:
Use the slider, investigate the effects of increasing and decreasing the slope of the pink line on the slope of the perpendicular line. (Hint: try multiplying the slopes of both lines each time you change the slope of the pink line)
Consider the effect these changes have on the equations of the perpendicular lines when answering the questions below.
5. How does changing the slope of the pink line affect the slope of the blue perpendicular line?
6. How does changing the slope of the pink line affect the equation of the blue line?
Finish the following statement:
4. Which of the following is a generalization of the relationships between the slopes of parallel lines.
7. What generalizations can you make regarding the slopes of any set of all perpendicular lines? (Hint: What happens when you multiply their slopes?)