
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that the pole of the polar coordinate system is at the origin of the rectangular coordinate system, and the polar axis coincides with the positive semi-axis of the x-axis, the polar coordinate equation of line $l$ is $ρ\sin (θ+ \frac {π}{4})= \frac {3 \sqrt {2}}{2}$, and the parametric equation of curve $C$ is $ \begin{cases} x=\cos α \\ y= \sqrt {3}\sin α\end{cases}(α \text{ is the parameter}) $.
(I) Find the rectangular coordinate equations of line $l$ and curve $C$;
(II) Find the minimum distance from a point on curve $C$ to line $l$.

Present the answer in LaTex format: \boxed{Your answer}
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