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(x1+x22,y1+y22)

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 ：x1+52=2 and y1+12=−3

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

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