Find an equivalent equation in rectangular coordinates.
-$$r = \frac { 2 } { 4 \sin \theta + 6 \cos \theta }$$
A) $4 y + 6 x = 2$
B) $4 y + 6 x = \frac { 2 } { \sqrt { x ^ { 2 } + y ^ { 2 } } }$
C) $4 x - 6 y = 4$
D) $4 x + 6 y = 2$

Question

Quizplus · Accepted Answer

To convert the given polar equation $r = \frac { 2 } { 4 \sin \theta + 6 \cos \theta }$ to rectangular coordinates, use the relationships $x = r \cos \theta$ and $y = r \sin \theta$. Multiplying both sides of the equation by $4 \sin \theta + 6 \cos \theta$ and substituting $x$ and $y$ gives $4y + 6x = 2$.

Find an Equivalent Equation in Rectangular Coordinates r=24sin⁡θ+6cos⁡θr = \frac { 2 } { 4 \sin \theta + 6 \cos \theta }r=4sinθ+6cosθ2​

Find an Equivalent Equation in Rectangular Coordinates $r = \frac { 2 } { 4 \sin \theta + 6 \cos \theta }$