Answer
The graph is a line with slope $-\sqrt 3$ and y-intercept $10$.
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=\dfrac{\sqrt 3}{2}r \cos \theta+\dfrac{1}{2}r \sin \theta $
Therefore, our Cartesian equation is $\dfrac{\sqrt 3}{2}x+\dfrac{1}{2}y=5$
This shows that the graph is a line with slope $-\sqrt 3$ and y-intercept $10$.
