**Our goal is to show the connection between
a given polar equation and the rectangular form of the same equation.
Our polar equation is**

**We begin by looking at the graph to determine
its center and lengths of the major and minor axes.**

**We see that the center of the ellipse is
(3,0) is rectangular form. The length of the major axis is 10
and the length of the minor axis is 8. From this information,
we can write the equation of the ellipse in rectangular form:**

**Now the important step is to prove that
these equations are indeed the same. To begin, remember that**

**We take the following steps**

**YES! They are equivalent equations, one
polar and one rectangular.**