Question

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

Answer 1

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

$\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

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

$\left(\dfrac{-1+(-5)}{2},\dfrac{1+(-3)}{2}\right)\\\\\\=\left(\dfrac{-1-5}{2},\dfrac{1-3}{2}\right)\\\\\\=\left(\dfrac{-6}{2},\dfrac{-2}{2}\right)\\\\\\=(-3,-1).$

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

Answer 2

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