Question

M is the midpoint of AB has coordinates(5, −4), if A has coordinates(6,1). What are thecoordinates of B. (1.5pts)?

Answer 1

Answer:

coordinates of A are (11/2, -3/2)

Step-by-step explanation:

midpoint = M(5, −4)

start point = A(6, 1)

endpoint = B(x, y)

 

                                      equation :

x =    m1 × x2 + m2 × x1                         y =  m1 × y2 + m2 × y1

       _____________                                 _____________

              m1 + m2                                             m1 + m2

x =  (1 × 6) + (1 × 5)                                    y=  (1 × 1) + (1 × -4)

  _____________                                      ____________

          1 + 1                                                           1 + 1

x = (6+5 )/ 2 = 11 / 2                                  y = (1+(-4))/2+(1-4)/2 = -3/2

                                ∴coordinates of A are (11/2, -3/2)

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