what are the coordinates for point \( c\) ? Express your answer as an ordered pair.
New point C =
[ 14 + (1/3)(14-2) , 2 + (1/3)(4 - - 2) ] =
[ 14 + (1/3) (12) , 2 + (1/3)(6) ] =
[ 14 + 4 , 2 + 2 ] =
( 18 , 4)
Thanks for trying but it is incorrect
The answer to this problem is actally 18,6
Sorry....I made a slight mistake...it should be
[ 14 + (1/3)(14-2) , 4 + (1/3)(4 - - 2) ] =
[ 14 + 4, 4 + 2 ] =
(18, 6)
Which agrees with your answer
THX for the correction !!!!
From A to B, the x coordinate increases by 12 and the y coordinate increases by 6. If we continue on for 1/3 of this distance, we will add $1/3*12 = 4$ to the x coordinate and $1/3*6 =2$ to the y coordinate, to get $C = (14+4,4+2) = (18,6)$
+466 
