Question

Find the midpoint of the line segment with endpoints (1/3,5/6) and (−5/6,2/3).

Answer 1

Given points are (1/3,5/6) and (−5/6,2/3)

Let (x1, y1) = (1/3,5/6) and (x2, y2) = (−5/6,2/3)

Midpoint of the line (M) =   ( (x1 + x1)/2 , (y1 + y2)/2 )

Substitute  (x1, y1) = (1/3,5/6) and (x2, y2) = (−5/6,2/3)

M  =  [ (1/3 - 5/6)/2, (5/6 + 2/3)/2 ]

     =  [ ((2 - 5)/6)/2, ((5 + 4)/6)/2 ] 

     =  [ (- 3)/(6X2), (9)/(6X2) ] 

     =  (- 1/4, 3/4)

Answer :

The Mid Point is (- 1/4, 3/4).