The segment shown is half of AB, where B (-5,1) is one endpoint of the segment and M (-3,3) is the midpoint of the segment. What are the coordinates of point A

3 answers

M = (A+B)/2
so,
A = 2M-B = 2(-3,3)-(-5,1) = (-6,6)-(-5,1) = (-1,5)
A(x, y), M(-3, 3), B(-5, 1).
-3-x = -5+3
X = -1.

3-y = 1-3
Y = 5.
the answer is (-1,5)