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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
avatar+100516 
+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)

 

 

cool cool cool

 Aug 20, 2018
 #2
avatar+209 
+1

MWAHAHA I knew it! I used guess and check during my test but honestly... at least I got it!

OwenT154  Aug 20, 2018
 #3
avatar+100516 
0

Hey...it's like I always say..."Any port in a storm."

 

 

cool cool cool

 Aug 20, 2018

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