My Math Forum x axis and y axis Product of slopes is equal to -1

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 November 21st, 2014, 06:35 AM #1 Member     Joined: Jun 2014 From: Math Forum Posts: 67 Thanks: 4 x axis and y axis Product of slopes is equal to -1 How can we prove that x axis and y axis Product of slopes is equal to -1
 November 21st, 2014, 08:00 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,614 Thanks: 2603 Math Focus: Mainly analysis and algebra It doesn't, but you can show that the limit is -1.
 November 21st, 2014, 01:46 PM #3 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 Similarily, two lines of the form ax that have the line y = x as symmetry-axis have a product of slopes equal to 1. What about the x-and y axis?
November 26th, 2014, 06:31 PM   #4
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Quote:
 Originally Posted by Hoempa Similarily, two lines of the form ax that have the line y = x as symmetry-axis have a product of slopes equal to 1. What about the x-and y axis?
I'm not sure this helps here. The line coinciding with the y-axis is not of the form $y = ax$

 November 27th, 2014, 04:16 AM #5 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 Indeed, but to find the product of -1, isn't used that two perpendicular lines have product of slopes -1? I figured to use a similar argument.

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# praduct of slopes of x axis and y axis

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