Question

LM has endpoints L(-1,1) and M(-5,-3) find the coordinates of the midpoint

Answer 1

use the midpoint formula,
(x1+x2/2,y1+y2/2)
(-1-5/2,1-3/2)
(-6/2,-2/2)
(-3,-1)

Answer 2

Answer: The required co-ordinates of the midpoint are (-3, -1).

Step-by-step explanation: Given that the endpoints of the line segment LM are L(-1,1) and M(-5,-3).

We are to find the co-ordinates of the midpoint of segment LM.

We know that,

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

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

Therefore, the co-ordinates of the midpoint of segment LM are

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

Thus, the required co-ordinates of the midpoint are (-3, -1).