Find the coordinate of the point that partitions a directed line segment into a specific ratio.

Questions: 1. Use the coordinates of the endpoint and the given ratio to find a point on the line segment that covers that ratio of the total length of the segment. 2. Use the check boxes to check your answers. 3. What ratio does the point E partition the segment into? 4. Hit the blue refresh arrows at the top right and try another example.

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Find the coordinates of A and of B. Check your answer using the other view. Find the distance from A to B. Can you calculate this by hand to check your answer? Find the coordinates of the midpoint of the line segment AB. Move the slider to p=0.5. Where is C?