SOLUTION: Determine k so that the lines r and s are parallel. r:(x-2)/3 = y/(-2) s:(x+5)/(-6) = (y-1)/k

Algebra ->  Vectors -> SOLUTION: Determine k so that the lines r and s are parallel. r:(x-2)/3 = y/(-2) s:(x+5)/(-6) = (y-1)/k      Log On


   

Question 1071537: Determine k so that the lines r and s are parallel.
r:(x-2)/3 = y/(-2)
s:(x+5)/(-6) = (y-1)/k
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r:
-2%28x-2%29=3y
-2x%2B4=3y
y=-2x%2F3%2B4%2F3
slope is -2%2F3.

s:
-6%28y-1%29=k%28x%2B5%29
-6y%2B6=kx%2B5k
-6y=kx%2B5k-6
y=-%28k%2F6%29x-%285k-6%29%2F6
slope is -k%2F6.

Now solve for the equality of the two slopes, highlight_green%28-2%2F3=-k%2F6%29.




k=4