SOLUTION: The interval PQ is divided into four equal lengths at R, S and T. P is (4,2) and Q is (12,6). What are the co-ordinates of R? Please include step by step explanation, thanks!

Algebra ->  College  -> Linear Algebra -> SOLUTION: The interval PQ is divided into four equal lengths at R, S and T. P is (4,2) and Q is (12,6). What are the co-ordinates of R? Please include step by step explanation, thanks!      Log On


   

Question 1009439: The interval PQ is divided into four equal lengths at R, S and T. P is (4,2) and Q is (12,6). What are the co-ordinates of R?
Please include step by step explanation, thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Take the x distance between P and Q and divide by 4 (PR,RS,ST,TQ).
x%5Bd%5D=12-4=8
x%5Bd%5D%2F4=2
So the x step between points is 2.
So starting at 4, it would be 6, 8, 10, and 12.
Similarly with y.
y%5Bd%5D=6-2=4
y%5Bd%5D%2F4=1
So starting at y=2, it would be 3,4,5, and 6.
So the points are,
P:(4,2)
R:(6,3)
S:(8,4)
T:(10,5)
Q:(12,6)