Slope Explorations
- Author:
- david_berger
Directions
Move the two lines around until they are parallel.
Image 1
#1
What do you notice about the slopes of your two lines?
Directions #2
Rearrange your lines so that they are both horizontal and not overlapping.
#2
What are the slopes of your two lines?
#3
What happens to the slopes as the lines become steeper?
#4
What happens when the lines are parallel and vertical?
Directions for #5
Rearrange your lines so that they are perpendicular.
#5
How many of the lines now have a positive slope?
#6
How many of the lines now have a negative slope?
#7
What do you get when you multiply the two slopes together?
#8
Rearrange your lines so that one line is vertical and one line is horizontal. What do you get when you multiply the slopes of these two lines together?
#9
Rearrange your line so that they are once again parallel. What do you notice about their slopes? What will always be true about the slopes of parallel lines?
#10
Slopes of perpendicular lines can multiply to