
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 hyperbola $C$ with foci $F_{1}(-2,0)$, $F_{2}(2,0)$, and an eccentricity of $2$;  
(I) Find the standard equation of the hyperbola;  
(II) If a line $l$ passing through point $M(1,3)$ intersects the hyperbola $C$ at points $A$ and $B$, and $M$ is the midpoint of $AB$, find the equation of line $l$.

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