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Math Help - Reflections!

  1. #1
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    Reflections!

    What would be the formula (in terms of (a,b)) if you were to reflect (a,b) across y=3x+5. Please explain too! Thank you!
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  2. #2
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    Re: Reflections!

    Hey Jammix,

    Hint: Try calculating the angle that is made with your point (a,b) and the line y=3x+5 and create a rotation matrix that rotates the (a,b) point -2*theta where theta refers to a signed angle where positive values means (a,b) is above the line and negative means (a,b) is below the line.
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  3. #3
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    Re: Reflections!

    Hi,
    Here's a general formula for the reflection problem. I guess you have to know a little "vector" geometry to follow the proof.

    Reflections!-mhfgeometry27.png
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