Question

Transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

$r\sin \theta =-2$

Short answer

The graph is

Step-by-step solution

Step 1. Given information

The given polar equation is$r\sin \theta =-2$

Step 2. Convert polar equation into rectangular equation and graph it.

Since $y=r\sin \theta$, you can write equation as$$\begin{gathered} y=r\sin \theta \\ y=-2 \end{gathered}$$

The graph is