In this problem I have been given the line segment CN with a midpoint P I was given the coordinates of C and P.
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!
According the the mid-point rule
[ sum of x coordinates of both endpoints / 2 , sum of the y coordinates of both endpoints / 2 ] = midpoint
[ ( 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)