Problem 72 of 7
Find the ratio in which point (-1,6) partitions segment from (5,0) to (-5,10).
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
compare coordinate distances along segment.
Hidden until you reveal it.
Point must lie on the segment; compare distances or coordinate displacement fractions.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Compute the fraction of total displacement from first endpoint to point.
2. Convert fraction f to ratio f:(1-f).
3. Simplify the ratio.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Reversed ratio.