This applet will help you visualize this formula for a division point of segment AB:[br][br]P = [math]\left(x_A+\frac{1}{n}\left(x_B-x_A\right),y_A+\frac{1}{n}\left(y_B-y_A\right)\right)[/math].[br][br]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 [math]\frac{1}{n}[/math] of the way from point A to point B.[br][br]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.[br][br]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!