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Question 215190: Please help me tutors Find the coordinate of point B in the segment AB if M is the midpoint.
A (4,6) M (6,3)
I don't get how to do this i've been trying all morning. Please Help! Thanks Tutors :)
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! Please help me tutors Find the coordinate of point B in the segment AB if M is the midpoint.
A (4,6) M (6,3)
Step 1. The midpoint (xm, ym) is the average of the x-coordinates and y-coordinates between points A given as (xa,ya) and B given as (xb, yb). Or in equation form
 and 
where xm=6, ym=3, xa=4, and ya=6.
Step 2. Solving for xb and yb will yield the following steps.
 and 
 and 
 and 
 and 
Step 3. Point B is at (8,0) or xb=8 and yb=0
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
Good luck in your studies!
Respectfully,
Dr J
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