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# Endpoint Problem. (Super Cool!) Cool Kids Answer!

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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!

Aug 20, 2018
edited by OwenT154  Aug 20, 2018

#1
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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)   Aug 20, 2018
#2
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MWAHAHA I knew it! I used guess and check during my test but honestly... at least I got it!

OwenT154  Aug 20, 2018
#3
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Hey...it's like I always say..."Any port in a storm."   Aug 20, 2018