Cache is NOT at the posted coordinates (obviously)

To solve this cache you will probably need a sheet of graph paper and a little bit of free time. The puzzle is very interesting, I learned about it recently and decided to use it in a cache. Here is the puzzle: Find two different coordinate points to complete two different parallelograms that include the three vertices (2,1), (7,1), (7,5). Then you must use this information gained to find the coordinates for the final. Hint: #1 should be easy, #2 is a little harder. Also, it factors out in the final.

Final Coordinates:

N 34 (#1 x-1)2.1(#1 y-1)2

W 118 5(#2 y+4).26(#2 x+7)

You can check your answer here:

You can validate your puzzle solution with certitude.