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Math Help - Rectangular to polar equations

  1. #1
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    Rectangular to polar equations

    8x+7y=5

    How do I change this rectangular equation to polar form!

    Please help it's the last part of my graded for correctness homework assignment!
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  2. #2
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    Hello, Xenomorph!

    Write in polar form: . 8x+7y\:=\:5
    You're expect to know these conversions: . \begin{Bmatrix}x &=& r\cos\theta \\ y &=& r\sin\theta \end{Bmatrix}

    Then . 8x + 7y \:=\:5 becomes: . 8r\cos\theta + 7r\sin\theta \:=\:5

    . . Factor: . r(8\cos\theta + 7\sin\theta) \:=\:5

    Therefore: . \boxed{r \;=\;\frac{5}{8\cos\theta + 7\sin\theta}}

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