# 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