A segment with endpoints at A(2, -2) and B(14, 4) is extended through B to point C. If BC = (1/3)AB, what are the coordinates for point C? Express your answer as an ordered pair.
We can calculate the coordinates for C as follows
[14 + (1/3)(14 - 2) , 4 + (1/3)(4 - -2) ] =
[ 14 + (1/3) *12 , 4 + (1/3) * 6 ] =
[ 14 + 4 , 4 + 2 ]
( 18, 6)
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