Problem

Given a line segment with start point A(2,3) and midpoint M(5,7), find the coordinates of the end point B.

Answer

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Answer

Step 3: Solving for xB and yB, we get xB=2∗5−2=8 and yB=2∗7−3=11.

Steps

Step 1 ：Step 1: The coordinates of the midpoint M of a line segment AB with endpoints A and B are given by the formula M=(xA+xB2,yA+yB2).

Step 2 ：Step 2: Substituting the given values into the formula, we get (5,7)=(2+xB2,3+yB2).

Step 3 ：Step 3: Solving for xB and yB, we get xB=2∗5−2=8 and yB=2∗7−3=11.

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