How do you write the equation $4x-5y=10$ in polar form?

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Answer 1 · 2016-12-10T14:49:58

The equation is $r=10/(4costheta-5sintheta)$

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

$x=rcostheta$

$y=rsintheta$

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

Here the equation is

$4x-5y=10$

$4rcostheta-5rsintheta=10$

$r(4costheta-5sintheta)=10$

$r=10/(4costheta-5sintheta)$

How do you write the equation 4x-5y=104x-5y=10 in polar form?