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Circle O is located on the coordinate plane with center at (2,3). One endpoint of a diameter is at (-1,-1). What are the coordinates of the other endpoint of this diameter? Express your answer as an ordered pair.

 Jan 14, 2019
 #1
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Notice that (2,3) will be the mid-point of both diameter endpoints

So..let (x, y) be the other diameter endpoint....and we have

 

(x   +  - 1) / 2 = 2             and        (y + -1) / 2 = 3

 

          multiply both sides by 2

 

x - 1     = 4                                 y - 1   =  6

 

                      add 1 to both sides

x =  5                                        y  =  7

 

So the other endpoint  is   (5, 7)

 

 

cool cool cool

 Jan 14, 2019

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