Find the other endpoint of a line segment which one endpoint at (-3, 5) and whose midpoint is (5, 2)

Let the unknown endpoint be (x₂ , y₂) and the known (x₁ , y₁)

mid-point  =   = (A , B)
              plug in the known values
     
        =>    
       
       separate the two parts of the equation for the formula and solve
                         for the value of the unknown y and x 
   
         =>   A :  
                       -3  +  x₂  =  (5)(2)
                                x₂  =  10 + 3
                                      =  13
 
                B:  
                        5  +  y₂   =  (2)(2)
                        5  +  y₂   =  4
                                y₂   = 4 - 5
                                      =  - 1

∴  if midpoint is (A,B)  then midpoint is  (13 , -1)

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