Answer
A line with slope $2$ and y-intercept $5$.
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) $y=r \sin \theta$
Since, we have $x=r \cos \theta$ and $y=r \sin \theta$
On multiplying both sides with $\sin \theta -2 \cos \theta$, we get $r\sin \theta -2r \cos \theta=5$
Therefore, the Cartesian equation is $y-2x=5 \implies y=2x+5$
This shows a line with slope $2$ and y-intercept $5$.
