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.
C =
[ x coordinate of B + (1/3) ( x coordinate of B -x coordinate of A) , y coordinate of B + (1/3) ( y coordinate of B -y coordinate of A) ]
[ 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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