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)#