
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 set of data for two related variables $X$, $Y$ ($x_i$, $y_i$) ($i=1,\ldots,n$), with the estimated slope in the regression line equation equal to 2, and the means of $x_i$ and $y_i$ as 4 and 5 respectively, derive the equation of the regression line.

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