Find the midpoint of the line segment whose endpoints are gi

Find the midpoint of the line segment whose endpoints are given.

a. (6,4), (10,2)

b. (-5,-7), (3,-10)

Solution

Mid points Formula for two end points ( a, b) and ( c,d)

( x , y ) = ( (a+c)/2 , ( b+d )/2)

a)

(6,4), (10,2)

( x, y) = ( ( 6+ 10 ) /2 , ( 4 + 2 ) /2 )

( x, y) = ( (8 , 3) is the mid point for given endpoints

b)

(-5,-7), (3,-10)

( x, y) = ( ( -5+3 ) /2 , ( -7-10 ) /2 )

( x , y) = ( -1 , - 17/2 ) is the mid point for given endpoints