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April 13th, 2017, 04:45 AM   #1
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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 Y-intercept 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.
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April 13th, 2017, 06:16 AM   #2
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Are the equations shown those given in the problem?
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April 13th, 2017, 06:35 AM   #3
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Yeah.
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April 13th, 2017, 08:09 AM   #4
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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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