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?

Result

x =  20
y =  1

Solution:

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

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For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

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