
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 13th, 2017, 04:45 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 06:09 AM. 
April 13th, 2017, 06:16 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,149 Thanks: 1418 
Are the equations shown those given in the problem?

April 13th, 2017, 06:35 AM  #3 
Newbie Joined: Apr 2017 From: Lithuania Posts: 2 Thanks: 0 
Yeah.

April 13th, 2017, 08:09 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,149 Thanks: 1418 
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. 

Tags 
equation, line, reflected 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Calculating the line integral of a curve given line segments  nomad609  Calculus  0  October 23rd, 2016 12:39 PM 
Secant line becoming a tangent line  Lucida  Trigonometry  2  May 19th, 2012 02:01 AM 
Find the equation of the line through P that cuts the line?  luketapis  Algebra  1  November 23rd, 2011 04:19 PM 
slope of line in respect to 2nd line helpppppp please  jessmari86  Algebra  1  April 11th, 2011 12:29 PM 
perpendicular line given line of intersection and otherplane  math12345  Algebra  3  April 3rd, 2011 11:54 AM 