[ASK] Reflection of a Line by Another Line

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    Line Reflection
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Discussion Overview

The discussion revolves around the reflection of a line, specifically the line represented by the equation 5x - 7y - 13 = 0, across another line given by y = -x. Participants explore the mathematical process involved in finding the reflection and present multiple options for the resulting equation.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents the original line and asks for its reflection across the line y = -x, providing multiple choice answers.
  • Another participant suggests substituting y = -x and x = -y into the original line to find the reflection.
  • A subsequent post proposes a potential result of -5y + 7x - 13 = 0 as the reflection.
  • A later reply confirms the previous result as correct.
  • One participant expresses surprise that the hardest question they encountered was the one that seemed simplest.

Areas of Agreement / Disagreement

Participants appear to agree on the mathematical steps taken to find the reflection, but the overall consensus on the final answer is not explicitly stated.

Contextual Notes

The discussion does not clarify the assumptions made during the reflection process or the definitions of terms used, which may affect the interpretation of the results.

Monoxdifly
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The reflection of the line 5x - 7y - 13 = 0 by the line y = -x is ...
A. 7x + 5y - 13 = 0
B. 7x + 5y + 13 = 0
C. 7x - 5y - 13 = 0
D. 7x - 5y + 13 = 0
E. 7y + 5x + 13 = 0

This one I totally have no idea. Like, at all.
 
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If we let:

$$y=-x$$

and

$$x=-y$$

in the given line, what do we obtain?
 
-5y + 7x - 13 = 0?
 
Monoxdifly said:
-5y + 7x - 13 = 0?

Correct. :)
 
I can't believe that out of the 4 questions I asked tonight, the one I found the hardest was the one with the simplest step.
 

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