For the Given Rectangular Equation, Give Its Equivalent Polar Equation $$2 x + 3 y = 6$$

question 117

Multiple Choice

For the given rectangular equation, give its equivalent polar equation.
- $$2 x + 3 y = 6$$

• A) \(r = \frac { 2 \cos \theta + 3 \sin \theta } { 6 }\)
• B) \(r = \frac { 2 \sin \theta + 3 \cos \theta } { 6 }\)
• C) \(r = \frac { 6 } { 2 \sin \theta + 3 \cos \theta }\)
• D) \(r = \frac { 6 } { 2 \cos \theta + 3 \sin \theta }\)

---

Definitions:

Altar of Zeus

An ancient monument that once stood in Pergamon, an ancient Greek city, known for its frieze depicting the Gigantomachy from Greek mythology.

Mythological Disguise

The practice of representing individuals in art or literature as mythological figures or deities, often to communicate underlying messages or themes.

King Attalos I

A ruler of Pergamon in the 3rd century BC who bequeathed his kingdom to Rome, contributing to the spread of Hellenistic culture.

Vergina Tomb Painting

Ancient frescoes found in the royal tombs of Vergina in Macedonia, notable for their depiction of classical Greek themes and exceptional preservation.