How do you write $-2x+4y=9$ in polar form?

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Answer 1 · 2016-11-25T10:51:34

The polar equation is $r=9/(4sin theta-2costheta)$

To transform from rectangular coordinates $(x,y)$ to polar coordinates $(r,theta)$ , we use the following equations

$x=rcostheta$

$y=rsintheta$

Therefore,

we can rewrite, $-2x+4y=9$

as $-2rcostheta+4rsintheta=9$

$r(4sin theta-2costheta)=9$

$r=9/(4sin theta-2costheta)$

How do you write -2x+4y=9-2x+4y=9 in polar form?