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April 13th, 2017, 03:45 AM  #1 
Newbie Joined: Apr 2017 From: Lithuania Posts: 2 Thanks: 0  Reflected line of another line equation
Hey guys, so I need a little bit of help with algebra. I have a task where a line (y1 = mx1 + c) is sent along another line (y2 = mx2 + c) and a ray is reflected (y3 = mx3 + c). I need to find the equation of the reflected line. I only need the final slope and Yintercept formulas. I've been trying to do this myself but not getting correct results.. I need to find the (y = mx + c) equation. Thanks!! Last edited by skipjack; April 13th, 2017 at 05:09 AM. 
April 13th, 2017, 05:16 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 17,919 Thanks: 1384 
Are the equations shown those given in the problem?

April 13th, 2017, 05:35 AM  #3 
Newbie Joined: Apr 2017 From: Lithuania Posts: 2 Thanks: 0 
Yeah.

April 13th, 2017, 07:09 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 17,919 Thanks: 1384 
In that case, the line being reflected has a steeper slope than the line it's reflected in, so the reflected ray is on the other side of the line y = 1/2 x  3/2. The reflection occurs at the point (1, 1) and the reflected ray's equation is y = x/18  17/18 (where x > 1). It would be messy to obtain this result without using trigonometry. 

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equation, line, reflected 
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