Question

find the polar equation for...

Answer 1

\[x ^{2}+y ^{2}-4x+6y=0\]

Answer 2

yeah haha i don't know how to do that

Answer 3

:)

Answer 4

i can make it a circle but converting to polar?

Answer 5

actually, collect x^2 + y^2 , that is equal to r^2

Answer 6

disregard what i said earlier

Answer 7

there are 4 equations to convert polar/rectangular equations
$$\Large{
x= r \cos \theta \\
y = r \sin \theta \\
r^2 = x^2 + y^2\\
\theta = arctan ( y/x)



}
$$

Answer 8

$$
\Large {
x ^{2}+y ^{2}-4x+6y=0
\\ \iff \\
r^2 - 4( r \cos \theta) + 6 ( r \sin \theta) = 0
\\ \iff \\
r^2 = 4( r \cos \theta) - 6 ( r \sin \theta)\\
\\ \iff \\
r^2 = r ( 4\cos \theta - 6 \sin \theta)
\\ \iff \\
r = 4\cos \theta - 6 \sin \theta


}
$$

Answer 9

Thank you so much! Can you help me with another real quick?