
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 point $M(x, y)$ on the coordinate plane and two fixed points $M_1(26, 1)$, $M_2(2, 1)$, and the ratio $\frac {|MM_{1}|}{|MM_{2}|} = 5$.  
(Ⅰ) Find the equation of the trajectory of point M and describe the shape of this trajectory;  
(Ⅱ) Let the trajectory in (Ⅰ) be $C$, and a line $l$ passing through point $M(-2, 3)$ intersects $C$ to form a segment of length 8. Find the equation of line $l$.

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