Question

The endpoints of KL are K(8,3) and L(-2,-5). Find the coordinates of M, the midpoint of KL.

a) M(3, -1)
b) M(6, -1)
c) M(5, -1)
d) M(5, -4)

Answer 1

The coordinates of M, the midpoint of KL, are (3, -1).

Step-by-step explanation:

The coordinates of the midpoint of a line segment can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints.

So, to find the coordinates of M, the midpoint of KL:

1. Find the average of the x-coordinates: (8 + (-2))/2 = 3
2. Find the average of the y-coordinates: (3 + (-5))/2 = -1

Therefore, the coordinates of M are (3, -1).