SOLUTION: If there are two straight lines which are not parallel respectively {{{ax + by +c =0}}} and {{{px + qy + r =0}}}, Find the equation of straight line which goes through their in

Algebra ->  Coordinate-system -> SOLUTION: If there are two straight lines which are not parallel respectively {{{ax + by +c =0}}} and {{{px + qy + r =0}}}, Find the equation of straight line which goes through their in      Log On


   



Question 902595: If there are two straight lines which are not parallel respectively ax+%2B+by+%2Bc+=0 and px+%2B+qy+%2B+r+=0,
Find the equation of straight line which goes through their interception point and (0,0) point.
Me and other students use this formula and make x and y 0 because the line which we want to find goes through the point (0,0). And then we get a value for lambda .
We put that value to equation and take the equation of the straight line.
My teacher never taught us how this relationship come. She just told us to use it. I think she didn't know how to prove. Here's the formula.
%28ax+%2B+by+%2Bc%29+%2B+lambda%28px+%2B+qy+%2B+r%29 =0
I want you to show me how this relationship come and a definition for lambda.
Thank you...

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Why are you insulting your teacher?