A segment with endpoints at A(2,-2) and B(14,4) is extended through B to point C. If BC = 3*AB, what are the coordinates for point C? Express your answer as an ordered pair.
To find C we have
[ 14 + 3(14 - 2) , 4 + 3( 4 - - 2) ] = [ 14 + 3 ( 12) , 4 + 3 (6) ] = ( 50, 22)
x from 2 to 14 is 12 need 24 more 14 + 24 = 38
y from -2 to 4 is 6 need 12 more 4 + 12 = 16
(38,16)