SOLUTION: The angle between line m and line n is Arctan 2/3 and the slope of line m is –1. Find the slope of line n.

Algebra ->  Linear-equations -> SOLUTION: The angle between line m and line n is Arctan 2/3 and the slope of line m is –1. Find the slope of line n.       Log On


   

Question 1012092: The angle between line m and line n is Arctan 2/3 and the slope of line m is –1. Find the slope of line n.

Answer by Rajendrakar(2) About Me  (Show Source):
You can put this solution on YOUR website!
If A is the angle between two lines whose slopes are m1 and m2 then

Given A = arctan 2%2F3, so TanA+=+2%2F3%3B+m1=+-1
Tan A = %28m1+-+m2%29%2F+%281%2B+m1m2%29+=+2%2F3

= %28-1+-+m2%29%2F+%281+%2B%28-1%29%2Am2%29=+2%2F3
+-3+-+3+m2+=+2+-+2+m2 (Cross multiplying)
3+m2+-+2m2+=+m2+=+-2+-+3+=+-5
Therefore the slope of line n = -5