Demonstrating the Slope of a Line
Move point B to create a line with the given slope. Point A starts at the origin, but you may also move it to see how lines with the same slope shift in position. Explore different slopes and observe how the steepness and direction of the line change.Guide Questions 1
1. How does the line look when the slope is positive?
2. How does the line look when the slope is negative?
3. What do you notice about the line when the slope is zero?
Guide Questions 2
1. If the slope is , how do you expect the line to tilt? How about when it is ?
2. If the slope is how will the line move as you go from left to right? How about if the slope is ?
3. What would a line with a very large slope (example ) look like? How about when the slope is ?