In this problem I have been given the line segment CN with a midpoint P I was given the coordinates of C and P.

C= (6,5)

P=(2,-11)

Now I am told to find the coordinates of the other endpoint N and explain the process that got me to this answer. Any Help? Thanks!

OwenT154
Aug 20, 2018

#1**+1 **

According the the mid-point rule

[ sum of x coordinates of both endpoints / 2 , sum of the y coordinates of both endpoints / 2 ] = midpoint

So

[ ( 6 + x / 2 ] = 2 multiply both sides by 2

6 + x = 4 subtract 6 from both sides

x = -2

[ ( 5 + y ) / 2 ] = -11 multiply both sides by 2

5 + y = -22 subtract 5 from both sides

y = - 27

So.... N = (x , y ) = ( -2, -27)

CPhill
Aug 20, 2018