Points A, B, C, and D are located on a line. A is at (-6,13), D is at (2,14), C is the midpoint of AD and B is the midpoint of AC. What is the sum of the coordinates of point B? Express the answer as a common fraction.

Guest Aug 15, 2019

#1**+1 **

A = (-6,13) D = (2,14)

So.....using the midpoint fomula.....C must be

[(-6 + 2) /2, (14/+13)/2 ] = [ -4/2, 27/2] = ( -2, 27/2 )

And....using the midpoint fomula once more.... B must be

[ (-6 + -2)/2 , ( 27/2 + 13)/2 ] = [ ( -4, ( 53/2)/2 ] = ( -4, 53/4)

So...the sum of the coordinates of B = -4 + 53/4 = (-16 + 53) /4 = 37/4

CPhill Aug 15, 2019