For the given rectangular equation, give its equivalent polar equation.
-$$8 x - 5 y = - 14$$
A) $r = \frac { - 14 } { 8 \cos \theta - 5 \sin \theta }$
B) $r = \frac { - 14 } { 8 \cos \theta + 5 \sin \theta }$
C) $\mathrm { r } = \frac { - 14 } { 8 \sin \theta - 5 \cos \theta }$
D) $r = \frac { - 14 } { 5 \cos \theta - 8 \sin \theta }$

Question

Quizplus · Accepted Answer

To convert the rectangular equation $8x - 5y = -14$ to its polar form, use the relationships $x = r\cos\theta$ and $y = r\sin\theta$. Substituting these into the given equation yields $8r\cos\theta - 5r\sin\theta = -14$, which simplifies to $r = \frac{-14}{8\cos\theta - 5\sin\theta}$, matching choice A.

For the Given Rectangular Equation, Give Its Equivalent Polar Equation 8x−5y=−148 x - 5 y = - 148x−5y=−14

For the Given Rectangular Equation, Give Its Equivalent Polar Equation $8 x - 5 y = - 14$