SOLUTION: Given points P(2, 1) and D(7, 11), find the coordinates of a point T on segment PD such that PT/TD = 2/3

Algebra ->  Length-and-distance -> SOLUTION: Given points P(2, 1) and D(7, 11), find the coordinates of a point T on segment PD such that PT/TD = 2/3      Log On


   



Question 1010525: Given points P(2, 1) and D(7, 11), find the coordinates of a point T on segment PD such that PT/TD = 2/3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given points P(2, 1) and D(7, 11), find the coordinates of a point T on segment PD such that PT/TD = 2/3
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Change in x:: 7-2 = 5
(2/3)5 = 10/3
x-coordinate of T:: 2+(10/3) = 16/3 or 5 1/3
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Change in y:: 11-1 = 10
(2/3)10 = 20/3
y-coordinate of T:: 1 + (2/3)(20/3) = 40/9 = 4 4/9
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Cheers,
Stan H.
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