SOLUTION: A line has an equation of x + 5y - 4 = 0. If the line x - ky - 17 = 0 makes an angle of 45 degrees counter-clockwise from the line x + 5y - 4 = 0, find
the value of k.
Question 1179238: A line has an equation of x + 5y - 4 = 0. If the line x - ky - 17 = 0 makes an angle of 45 degrees counter-clockwise from the line x + 5y - 4 = 0, find
the value of k. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! x - ky - 17 = 0 makes an angle of 45 degrees counter-clockwise from the line x + 5y - 4 = 0
one line is 5y=-x+4
y = -x/5 +4/5 slope = -(1/5)
Other line x-ky -17=0
ky=x-17
y= x/k =17/k
slopes are (-1/5) , (1/k)
m1-m2= (1/k -(-1/5))
= (k+5)/5k------------N
1+m1m2 = 1+ (-1/5k) = (5k-1)/5k-----------D
