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January 24th, 2012, 08:48 PM  #1 
Newbie Joined: Jan 2012 Posts: 21 Thanks: 0  straight line problem
1/r+1/m=1/c r,m are variables c is a constant show that x/r+y/m=1 is going through a constant point 
January 24th, 2012, 09:21 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,163 Thanks: 472 Math Focus: Calculus/ODEs  Re: straight line problem
We are given the family of lines: where with c a nonzero constant. If this family of lines all pass through the same point, let's call this point (h,k). We should then be able to express the family of lines in the form: where is an arbitrary slope. So we find all the lines pass through the point (c,c). 
January 24th, 2012, 10:46 PM  #3 
Newbie Joined: Jan 2012 Posts: 21 Thanks: 0  Re: straight line problem
thanks a lot...this site seems good. :P

January 24th, 2012, 10:48 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,163 Thanks: 472 Math Focus: Calculus/ODEs  Re: straight line problem
Glad to help, and welcome to the forum! I'm glad you like this forum! 

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