Answer
The graph is composed of two parallel lines having slope $-1$ and y-intercepts $1$ and $-1$.
Work Step by Step
Conversion of polar coordinates and Cartesian coordinates are as follows:
a)$r^2=x^2+y^2 \implies r=\sqrt {x^2+y^2}$
b) $\tan \theta =\dfrac{y}{x} \implies \theta =\tan^{-1} (\dfrac{y}{x})$
c) $x=r \cos \theta$
d) $y=r \sin \theta$
Here, we have $r^2+2r^2 \cos \theta \sin \theta)=1 \implies r^2+2(r \cos \theta) (r \cos \theta)=1$
Therefore, our Cartesian equation is $x^2+y^2+2xy=1 \implies x+y =\pm 1$
This implies that $y=-x+1$ and $y=-x-1$
This shows that the graph is composed of two parallel lines having slope $-1$ and y-intercepts $1$ and $-1$.
