Fogarty - Partitioning of Line Segment Exploration

Objective: I will be able to determine the coordinates of Point C on Line Segment AB in the ratio m:n.
1. Point C appears to be the midpoint. Use the midpoint formula to check whether Point C is at the midpoint. [br]2. Explain how the ratio 1:1 would place Point C at the midpoint of AB.[br]3. Change the ratio to 3:1. How many equally spaced parts are in AB. [br]4. Change the ratio to 1:3. Explain why the coordinates of Point C changed. [br]5. How does the slope of AC compare with the slope of AB? Why?

Information: Fogarty - Partitioning of Line Segment Exploration