Problem

If the midpoint of a line segment is M(2, -3) and one end point is B(5, 1), find the coordinates of the other end point A.

Answer

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Answer

Solving these equations for x1 and y1 gives us the coordinates of A.

Steps

Step 1 ：The formula to find the midpoint M of a line segment with end points A(x1, y1) and B(x2, y2) is M\(\left(\frac{{x1+x2}}{2}, \frac{{y1+y2}}{2}\right)\)

Step 2 ：Given that M(2, -3) and B(5, 1), we can set up the following equations to solve for the coordinates of A:

Step 3 ：\(\frac{{x1+5}}{2} = 2\) and \(\frac{{y1+1}}{2} = -3\)

Step 4 ：Solving these equations for x1 and y1 gives us the coordinates of A.

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