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A segment has endpoints a(-3, 5) and b(2, 1). find the midpoint m of the segment.

User Debbes
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The midpoint is (-1/2, 3)
User Tomer Omri
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Answer: The co-ordinates of the midpoint M of the given line segment is (-0.5, 3).

Step-by-step explanation: Given that a segment has endpoints A(-3, 5) and B(2, 1).

We are to find the midpoint M of the segment AB.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by


\left((a+c)/(2),(b+d)/(2)\right).

Therefore, the co-ordinates of the midpoint M of the given line segment AB is


M\\\\\\=\left((-3+2)/(2),(5+1)/(2)\right)\\\\\\=\left(-(1)/(2),(6)/(2)\right)\\\\=(-0.5,3).

Thus, the co-ordinates of the midpoint M of the given line segment is (-0.5, 3).

User Simon Steinberger
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