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! :)

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39726) 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%2Bx%29%2F2=1%267%2F12 and %281%262%2F11%2By%29%2F2=4%262%2F3
Naturally you must convert the mixed numbers into improper fractions before you can proceed much from these two equations.

Answer by MathTherapy(10712) About Me  (Show Source):
You can put this solution on YOUR website!
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! :)


The other person's formula is WRONG!!

EP1: matrix%281%2C5%2C+%22%28%22%2C+5%2F3%2C+%22%2C%22%2C+13%2F11%2C+%22%29%22%29     EP2: matrix%281%2C2%2C+%22%28x%2C%22%2C+%22y%29%22%29      MP: matrix%281%2C5%2C+%22%28%22%2C+19%2F12%2C+%22%2C%22%2C+14%2F3%2C+%22%29%22%29 

EP2x: %285%2F3+%2B+x%29%2F2+=+19%2F12                                   EP2y: %2813%2F11+%2B+y%29%2F2+=+14%2F3 
   12%285%2F3+%2B+x%29+=+2%2819%29 --- Cross-multiplying              3%2813%2F11+%2B+y%29+=+2%2814%29 --- Cross-multiplying
     matrix%283%2C1%2C+20+%2B+12x+=+38%2C+12x+=+18%2C+x+=+18%2F12+=+3%2F2%29                                         matrix%284%2C1%2C+39%2F11+%2B+3y+=+28%2C+39+%2B+33y+=+308%2C+33y+=+269%2C+y+=+269%2F33%29