Posted by Sophie on Tuesday, June 2, 2009 at 3:48pm.
before I answer this question, I have to establish if you know
1. that slope = tan(angle the line makes with the x-axis)
2. if m1 and m2 are the slopes of 2 nonparallel lines, and theta is the acute angle between them, then
tan(theta) = │(m1 - m2)/(1 + m1m2)│
If not please watch this short video.
http://www.slideshare.net/nsimmons/11-x1-t05-07-angle-between-two-lines
3. tan(2A) = 2tanA/(1-tan^2 A)
I also noticed that in the first answer given, the slope of the line is
(3√2+√10)/(√10+√2) which when rationalized is (1+√5)/2 which is the answer that I got for the required line.
So you might have obtained the correct slope of the new line without realizing it.
Let me know if you need more help.
okay thanks
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