Problem 35 of 7
Find the point that partitions directed segment from (-5,10) to (5,-10) in ratio 3:1.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
apply section formula.
Hidden until you reveal it.
For ratio m:n from A to B, point is m/(m+n) of the way from A to B.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Convert ratio m:n to fraction m/(m+n) from the first endpoint.
2. Find displacement vector from first to second endpoint.
3. Add that fraction of displacement to the first endpoint.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Reversing m and n for directed segment.