Question

Find the coordinates of the midpoint of the segment whose endpoints are given. a (2, 3 and b (6, 11

Answer 1

midpoint = (4, 7)


how to get answer:
(x1+x2)/2, (y1+y2)/2

Answer 2

Answer: The co-ordinates of the mid-point are (4, 7).

Explanation: We are given to find the co-ordinates of the mid-point of the segment with endpoints A(2, 3) and B(6, 11).

We know that the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by

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

Since the endpoints of line segment AB are A(2, 3) and B(6, 11), so the co-ordinates of the mid-point of AB will be

`M_c=\left((2+6)/(2),(3+11)/(2)\right)=\left((8)/(2),(14)/(2)\right)=(4,7).`

Thus, the co-ordinates of the mid-point are (4, 7).