Answer
$ r=\frac{2}{cos\theta + sin \theta}$
Work Step by Step
Given: $x+y=2$
To convert this equation into polar form, we will substitute $x=rcos\theta$ and $y=rsin \theta$
Thus, $rcos\theta + rsin \theta =2$
or $ r=\frac{2}{cos\theta + sin \theta}$
