Demo of Division Point Formula
This applet will help you visualize this formula for a division point of segment AB:
P = .
Use the slider to select a value for n. This will divide segment AB into n sections, and display the coordinates point P, which is of the way from point A to point B.
Check the boxes one at a time to see the step by step calculations for P's coordinates, as well as what they correspond to in the diagram.
You can drag A and B anywhere you want and everything will be updated. You can even drag the grid to move A and B into any quadrant you like!
How would the formula change for a point Q that is of the way from A to B? Or of the way? You can type your thoughts in the space below!