How do you write the equation $-x+3y=7$ in polar form?

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Answer 1 · 2016-11-12T22:21:24

Please see the explanation

Substitute $rcos(theta)$ or x and $rsin(theta)$ for y:

$-rcos(theta) + 3rsin(theta)$ = 7

Move the common factor r outside ()s:

$r(3sin(theta) - cos(theta)) = 7$

Divide both sides by $(3sin(theta) - cos(theta))$

$r = 7/(3sin(theta) - cos(theta))$

Here is a polar graph of the above:

![Desmos.com]( useruploads.socratic.org )

How do you write the equation -x+3y=7-x+3y=7 in polar form?