SOLUTION: A segment has end points (4,-2) and (13,13). Find the coordinates of the points that trisect the segment.

Algebra ->  Length-and-distance -> SOLUTION: A segment has end points (4,-2) and (13,13). Find the coordinates of the points that trisect the segment.      Log On


   



Question 345492: A segment has end points (4,-2) and (13,13). Find the coordinates of the points that trisect the segment.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the difference in x values.
x2-x1=13-4=9
Trisect the difference or divide it in 3.
DELTA%2Ax=9%2F3=3
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Calculate the difference in y values.
y2-y1=13-%28-2%29=15
Divide it in 3.
DELTA%2Ay=15%2F3=5
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Starting at (4,-2) add (3,5)
(4,-2)+(3,5)=(7,3)
Starting at (7,3), add (3,5)
(7,3)+(3,5)=(10,8)
Finally one more time should get us to the second given point.
(10,8)+(3,5)=(13,13)
Verifying that the method was proper.
(7,3) and (10,8) are the two points.
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