SOLUTION: Find the value of t. The midpoint of the segment joining (t,2) and (3t, -4) is (-6,-1).

Algebra ->  Algebra  -> Points-lines-and-rays -> SOLUTION: Find the value of t. The midpoint of the segment joining (t,2) and (3t, -4) is (-6,-1).      Log On

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Question 114064: Find the value of t.

The midpoint of the segment joining (t,2) and (3t, -4) is (-6,-1).
Answer by checkley71(8405) About Me  (Show Source):
You can put this solution on YOUR website!
LENGTH OF THE X LINE IS 3T+T=4T
4T/2=-6 CROSS MULTIPLY.
4T=-12
T=-12/4
T=-3 OR THE POINT (-3,2)
3T=-3*3=-9 OR THE POINT (-9,-4