Point A is at #( -6, -9)# and point M is at# ( -5.5, -6.5)#. Point M is the midpoint of point A and point B. What are the coordinates of point B?

1 Answer
Shwetank Mauria
Feb 18, 2016

Coordinates of point B are #(-5, -4)#.

Explanation:

Let the coordinates of two points A and B be #(-6,-9)# and #(x,y)# respectively. Then their mid point is #((x-6)/2, (y-9)/2)#. As midpoint is given to be #(−5.5,−6.5).#,

#(x-6)/2=-5.5# i.e. #x-6=-11# or #x=-11+6=-5#

also #(y-9)/2=-6.5# i.e. #y-9=-13# or #x=-13+9=-4#

Hence coordinates of point B are #(-5, -4)#.

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