Slope Explorations

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?

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#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?

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#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

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