The coordinates of point B are (-1,4).
Given the line segment AB has a midpoint M and M has coordinates (0,3) and the coordinates of endpoints are A(1,2) and the coordinates of B are unknown and asked to find out the coordinates of B.
Let's assume the coordinates of B as(a,b).
Midpoint formula=(,) For the line segment having endpoints(x1,y1) and (x2,y2)
Here (x1,y1)=(1,2) and (x2,y2)=(a,b)
Midpoint (M)=(0,3)
(0,3)=(,)
⇒0=
⇒a=-1
⇒6=2+b
⇒4=b.
Therefore, The coordinates of point B are(-1,4).
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