Question 783813
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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!!

EP<sub>1</sub>: {{{matrix(1,5, "(", 5/3, ",", 13/11, ")")}}}     EP<sub>2</sub>: {{{matrix(1,2, "(x,", "y)")}}}      MP: {{{matrix(1,5, "(", 19/12, ",", 14/3, ")")}}} 

EP2<sub>x</sub>: {{{(5/3 + x)/2 = 19/12}}}                                   EP2<sub>y</sub>: {{{(13/11 + y)/2 = 14/3}}} 
   {{{12(5/3 + x) = 2(19)}}} --- Cross-multiplying              {{{3(13/11 + y) = 2(14)}}} --- Cross-multiplying
     {{{matrix(3,1, 20 + 12x = 38, 12x = 18, x = 18/12 = 3/2)}}}                                         {{{matrix(4,1, 39/11 + 3y = 28, 39 + 33y = 308, 33y = 269, y = 269/33)}}}
                        {{{highlight(matrix(1,10, EP[2], ":", "(x,", "y)", "=", "(", 3/2, ",", 269/33, ")"))}}}</pre>