SOLUTION: Find the value of k for which the lines (k + 1)x – 4y + 10 = 0 and y = (5/k)x + 11 are perpendicular.

Algebra ->  Functions -> SOLUTION: Find the value of k for which the lines (k + 1)x – 4y + 10 = 0 and y = (5/k)x + 11 are perpendicular.      Log On


   



Question 1004002: Find the value of k for which the lines (k + 1)x – 4y + 10 = 0 and
y = (5/k)x + 11 are perpendicular.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-4y=-%28k%2B1%29x-10
y=%28%28k%2B1%29%2F4%29x%2B10%2F4
y=%28%28k%2B1%29%2F4%29x%2B5%2F2

Now compare the coefficients on x.

You want, for perpendicularity, %28k%2B1%29%2F4=-k%2F5.
Solve.