The given line segment's midpoint is (3,-6)
Step-by-step explanation:
Step 1 :
Let A be the point (4,-2) and B be the point (2,-10)
We need to obtain the midpoint of AB
Let M (x,y) be the Midpoint.
Step 2 :
The x co-ordinate of a line segment's midpoint obtained by adding the x co-ordinate of its end point and dividing by 2.
The y co-ordinate of a line segment's midpoint obtained by adding the y co-ordinate of its end point and dividing by 2.
So we have x = (4 + 2) ÷ 2 = 3
y = (-2 - 10) ÷ 2 = -6
Hence M = (3,-6)
Step 3 :
Answer :
The given line segment's midpoint is (3,-6)