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November 21st, 2014, 07:35 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, 09:00 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,682 Thanks: 2175 Math Focus: Mainly analysis and algebra 
It doesn't, but you can show that the limit is 1.

November 21st, 2014, 02:46 PM  #3 
Math Team Joined: Apr 2010 Posts: 2,770 Thanks: 356 
Similarily, two lines of the form ax that have the line y = x as symmetryaxis have a product of slopes equal to 1. What about the xand y axis?

November 26th, 2014, 07:31 PM  #4 
Math Team Joined: Nov 2014 From: Australia Posts: 672 Thanks: 239  
November 27th, 2014, 05:16 AM  #5 
Math Team Joined: Apr 2010 Posts: 2,770 Thanks: 356 
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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axis, equal, product, slopes 
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