Questions on Geometry: Length, distance, coordinates, metric length answered by real tutors!

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Question 167146This question is from textbook Geometry
: Can somebody please help solving the below problem?
Given points P(2,1) and D(7,11). Find the coordianates of T on the line PD such that PT/TD = 2/3.
This question is from textbook Geometry
: Can somebody please help solving the below problem?
Given points P(2,1) and D(7,11). Find the coordianates of T on the line PD such that PT/TD = 2/3.

Answer by scott8148(2801) About Me  (Show Source):
You can put this solution on YOUR website!
since 2+3=5, divide PD into 5 parts with PT equal to 2 parts and TD equal to 3 parts

this is very straight forward because the x-distance and the y-distance are both divisible by 5

Tx=Px+(2/5)(7-2) __ Tx=2+2 __ Tx=4

Ty=Py+(2/5)(11-1) __ Ty=1+4 __ Ty=5

T=(4,5)