How do you convert $y=2x-1$ to polar form?

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Answer 1 · 2016-12-22T09:07:21

$r=1/(2costheta-sintheta)$

for polars

$r^2=x^2+y^2$

$x=rcostheta$

$y=rsintheta$

$y=2x-1$

$rsintheta=2rcostheta-1$

$=>2rcostheta-rsintheta=1$

$r(2costheta-sintheta)=1$

$r=1/(2costheta-sintheta)$

How do you convert y=2x-1y=2x-1 to polar form?