How do you convert $3y= 12x-12$ into a polar equation?

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Answer 1 · 2016-02-23T13:50:27

r = $-$ 1 / ( sin $theta$ $-$ 4 cos $theta$ ). Represents a straight line through polar ( 1, 3 $pi$ /2), with inclination arc tan 4 to $theta$ = 0.

y = m x + c in polar form is r = c / ( sin $theta$ $-$ m cos $theta$ ).
Note that ( r, $theta$ ) is same as ( $-$ r, $theta$ + $pi$ ).

How do you convert 3y= 12x-12 3y= 12x-12 into a polar equation?