
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 the curve C: $\frac {x^{2}}{4}+ \frac {y^{2}}{9}=1$, and the line l given by the parametric equations $x=2+t$, $y=2-2t$ (where $t$ is a parameter),
1. Write the parametric equations for curve C and the standard equation for line l.
2. Suppose P is a moving point on curve C, find the maximum and minimum distance from point P to line l.

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