# How do you convert X+2Y-4=0 into polar form?

Nov 2, 2016

#### Explanation:

Substitute $r \cos \left(\theta\right)$ for x and $r \sin \left(\theta\right)$ for y:

$r \cos \left(\theta\right) + 2 r \sin \left(\theta\right) - 4 = 0$

Move 4 to the right side and factor out r on the left:

$r \left(\cos \left(\theta\right) + 2 \sin \left(\theta\right)\right) = 4$

Divide both sides by $\left(\cos \left(\theta\right) + 2 \sin \left(\theta\right)\right)$

$r = \frac{4}{\cos \left(\theta\right) + 2 \sin \left(\theta\right)}$