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

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

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Answer 1 · 2016-02-23T13:50:27

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

Explanation:

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

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

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