The coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).
Let the coordinates of point B are (x, y).
According to the give question.
The midpoint of AB is M(4, 0).
The coordinates of A are (3, 1).
Therefore, the coordinates of points B are given by
(4, 0) = ( (3 + x)/2, (1 + y)/2)
⇒ (3 + x)/2 = 4, and (1 + y)/2 = 0
⇒ 3 + x = 8 and 1 + y = 0
⇒ x = 8 - 3 and y = -1
⇒ x = 5 and y = -1
Hence, the coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).
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