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

Question

asked Jan 14, 2017 119k views

2 Answers

Simon Steinberger · Answer 1 · 2017-01-19T17:14:06+0000

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).