Getting line equation in polar coords from cartesian coords

Question

I have a line equation y = kx + b in cartesian coords. I need to get it in polar coords. I know, I should use a Jacobian, but I don't understand how to use it. Can anybody show a simple example? Thanks

Answer 1

HINT: In polar coordinates, $(r,\theta)$:

$$x=r\cos \theta, \ y=r\sin \theta$$

Answer 2

you only need to substitute $x=r\cos \theta$ and $y=r\sin \theta$