
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 a hyperbola C with foci $F_1(-2, 0)$ and $F_2(2, 0)$, and eccentricity e equals to 2,  
(Ⅰ) Determine the standard equation of the hyperbola;  
(Ⅱ) Find the equation of the line l that passes through point M$(1, 3)$ and intersects the hyperbola C at points A and B where M is the midpoint of AB.

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