SOLUTION: Find the value of k so that the line containing the points (−4,0) and (1,k) is perpendicular to the line containing the points (−1,−4) and (4,−2).

Algebra ->  Linear-equations -> SOLUTION: Find the value of k so that the line containing the points (−4,0) and (1,k) is perpendicular to the line containing the points (−1,−4) and (4,−2).      Log On


   

Question 785282: Find the value of k so that the line containing the points (−4,0) and (1,k) is perpendicular to the line containing the points (−1,−4) and (4,−2).
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of k so that the line containing the points (−4,0) and (1,k) is perpendicular to the line containing the points (−1,−4) and (4,−2).
:
Find the slope of the perpendicular line,
m = %28-2-%28-4%29%29%2F%284-%28-1%29%29 = 2%2F5
slope relationship to the 1st line
2%2F5*m2 = -1
m2 = -5%2F2
:
%28k-0%29%2F%281-%28-4%29%29 = k%2F5 = -5%2F2
2k = 5*-5
2k = -25
k = -12.5