Midpoint of segment

Point A has coordinates [-16; 23] and the midpoint of the segment AB is the point [2; 12]. What are the coordinates of point B?

Correct result:

x =  20
y =  1

Solution:

M=A+B2 2M=A+B B=2MA  x=22(16)=20M = \dfrac{ A+ B}{2} \ \\ 2 M = A+B \ \\ B = 2M - A \ \\ \ \\ x = 2\cdot 2-(-16) = 20
y=21223=1y = 2\cdot 12-23 = 1



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