The line ab has midpoint (-2, 4).
a has coordinates (3,-2).
find the coordinates of b.

B(8, -8 )

Step-by-step explanation: The formula for calculating mid - point between two points is given as :

M = ( , )

The mid point has been given from the question .

= -2

= ?

= 4

= ?

substituting into the formula , we have

(3 , - 2 ) = ( , )

Equating x -component to x and y component to y , we have

3 =

cross multiplying , we have

6 = -2 +

Therefore:

= 8

Also , equating y component to y , we have

-2 =

-4 = 4 +

= -8

Therefore :

 = 8

 = -8

check

-2 + 8 / 2 = 3 and

-8 + 4 / 2 = -2