SOLUTION: A(t,3t),B(tt,2t),C(t-2t) and D(1,1) are four distinct points. If AB is parallel to CD, find the possible values of t.

Algebra ->  Length-and-distance -> SOLUTION: A(t,3t),B(tt,2t),C(t-2t) and D(1,1) are four distinct points. If AB is parallel to CD, find the possible values of t.      Log On


   



Question 947127: A(t,3t),B(tt,2t),C(t-2t) and D(1,1) are four distinct points. If AB is parallel to CD, find the possible values of t.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Point B has an x coordinate of tt.
Is this a mistake?
Also, Point C doesn't have a comma separating the two coordinates.
To solve find the slopes of AB and CD and set them equal to each other since parallel lines have identical slopes.
m%5BAB%5D=%28y%5BB%5D-3t%29%2F%28x%5BB%5D-t%29
m%5BCD%5D=%281-y%5BC%5D%29%2F%281-x%5BC%5D%29
If you still need help, please repost correcting B and C.