Question
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.
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What is the standard form of the equation in rectangular form?
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What is the standard form of the equation in rectangular form?
Ask by Beck Ellis. in the United States
Dec 15,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The standard form of the equation in rectangular form is
.
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Bonus Knowledge
To transform the polar equation
into rectangular coordinates, we use the relationships
and
. Substituting these into the equation gives us:
This equation represents a horizontal line at
in rectangular coordinates.
Now, let’s graph it! Imagine a straight line that runs left and right across the coordinate plane like a tightrope. It cuts through the
-axis at 7, while stretching out infinitely in the
direction. So, if you were to walk on that line, you’d never stray above or below it—just a perfect, steady stroll!