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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- Dec 15th 2008, 07:11 PMXenomorphRectangular 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! - Dec 15th 2008, 07:50 PMSoroban
Hello, Xenomorph!

Quote:

Write in polar form: .$\displaystyle 8x+7y\:=\:5$

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

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

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