SOLUTION: Hello! :) Please answer my question. These are the directions: Find the other endpoint of the line segment with the given endpoint and midpoint. Okay, so I have gotten a bunch o

Algebra ->  Length-and-distance -> SOLUTION: Hello! :) Please answer my question. These are the directions: Find the other endpoint of the line segment with the given endpoint and midpoint. Okay, so I have gotten a bunch o      Log On


   



Question 783813: Hello! :) Please answer my question. These are the directions: Find the other endpoint of the line segment with the given endpoint and midpoint.
Okay, so I have gotten a bunch of the questions, but now there are some with fractions involved. This is the one I need help with:
Endpoint: (5/3, 1 2/11) Midpoint: ( 1 7/12, 4 2/3)
The numbers spaced from the fraction are mixed numbers. I have found that in the other problems I didn't need the midpoint.
Thank you very much. Please reply soon because I have a lot of homework to do since I'm in high school. Thanks again! :)

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Your solution processes will be exactly the same no matter if you have mixed-number values or integer-only values. Plug you given values into the appropriate places in the midpoint formula and solve.

With these defining your problem:
Endpoint: (5/3, 1 2/11) Midpoint: ( 1 7/12, 4 2/3)

You are looking for some point, (x,y), so that
%28%285%2F3%29-x%29%2F2=1%267%2F12 and %281%262%2F11-y%29%2F2=4%262%2F3
Naturally you must convert the mixed numbers into improper fractions before you can proceed much from these two equations.