Replace the Polar Equation with an Equivalent Cartesian Equation $8 r \cos \theta + 9 r \sin \theta = 1$

question 212

Multiple Choice

Replace the polar equation with an equivalent Cartesian equation.
- $8 r \cos \theta + 9 r \sin \theta = 1$

• A) \(8 x + 9 y = x ^ { 2 } + y ^ { 2 }\)
• B) \(\frac { x } { 8 } + \frac { y } { 9 } = 1\)
• C) \(8 y + 9 x = 1\)
• D) \(8 x + 9 y = 1\)

---

Definitions:

Simplify

To make something less complex or complicated, making it easier to understand or solve.

Radical

Refers to the root of a number, with the most common being the square root, though it can refer to cube roots or higher.

Square Root

A number which produces a specified quantity when multiplied by itself.

Square Root

The figure that, upon being multiplied with itself, results in the starting number.