Converting a Linear Equation to Polar Form: Dealing with Constant Terms

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To convert the linear equation 2x + 3y = 4 into polar form, the correct approach involves substituting x and y with their polar equivalents, resulting in 2r cos θ + 3r sin θ = 4. This simplifies to r(2 cos θ + 3 sin θ) = 4, leading to the expression r = 4 / (2 cos θ + 3 sin θ). The confusion arises from handling the constant term, but the transformation is valid. The final polar form is correctly expressed as r = 4 / (2 cos θ + 3 sin θ). Understanding this conversion process clarifies the relationship between linear and polar equations.
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How would I change: 2x+3y=4
into polar form? I understand how to solve for polar form but the 4 without a variable is confusing me.
 
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2 r cos \theta + 3 r sin \theta = 4
r(2 cos \theta + 3 sin \theta) = 4
2 cos \theta + 3 sin \theta = 4/r
\frac{4}{2 cos \theta + 3 sin \theta} = r

whats wrong with that?
 
Thank you I feel ashamed that such a simple problem stumped me. I was thinking to hard lol. Thanks again
 
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