Find the midpoint of the line segment with end coordinates of: ( 4 , − 2 ) and ( 2 , − 10

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)