SOLUTION: M is the midpoint of QR. Q has coordinates (-3,5), and M has coordinates (7,-9). Find the coordinates of R.

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Question 214254: M is the midpoint of QR. Q has coordinates (-3,5), and M has coordinates (7,-9). Find the coordinates of R.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
M is the midpoint of QR. Q has coordinates (-3,5), and M has coordinates (7,-9). Find the coordinates of R.

Step 1. The midpoint is calculated as the average of the x-coordinates and y-coordinates between the two points. Let (x,y) be the coordinates of R.

Step 2. x-coordinate of midpoint is found as

7=%28-3%2Bx%29%2F2
2%2A7=-3%2Bx

14%2B3=-3%2Bx%2B3

x=17

Step 3. y-coordinate of midpoint is found as

-9=%285%2By%29%2F2
2%2A%28-9%29=5%2By

-18-5=5%2By-5

y=-23

Step 4. The other endpoint R is (17,-23)

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J