SOLUTION: M (9, 8) is the midpoint of RS. The coordinates of S are (10, 10). What are the coordinates of R?

Algebra ->  Length-and-distance -> SOLUTION: M (9, 8) is the midpoint of RS. The coordinates of S are (10, 10). What are the coordinates of R?      Log On


   



Question 384081: M (9, 8) is the midpoint of RS. The coordinates of S are (10, 10). What are the coordinates of R?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
M (9, 8) is the midpoint of RS. The coordinates of S are (10, 10). What are the coordinates of R?
Use the midpoint formula,
x%5BM%5D=%28x%5BR%5D%2Bx%5BS%5D%29%2F2
2%2Ax%5BM%5D=x%5BR%5D%2Bx%5BS%5D
x%5BR%5D=2%2Ax%5BM%5D-x%5BS%5D
x%5BR%5D=2%2A9-10
Similarly,
y%5BM%5D=%28y%5BR%5D%2By%5BS%5D%29%2F2
2%2Ay%5BM%5D=y%5BR%5D%2By%5BS%5D
y%5BR%5D=2%2Ay%5BM%5D-y%5BS%5D
y%5BR%5D=2%2A8-10