
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 moving point $M$ in the Cartesian coordinate system and two fixed points $M_{1}(26,1)$, $M_{2}(2,1)$, the ratio of the distances from $M$ to $M_{1}$ and $M_{2}$ is equal to $5$.  
(Ⅰ) Find the equation of the trajectory of the moving point $M$, and explain what shape the trajectory is;  
(Ⅱ) Let the trajectory of the moving point $M$ be $C$, and a line $l$ passing through point $P(-2,3)$ intersects $C$ with a chord length of $8$, find the equation of line $l$.

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