
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 that $1$, $x\_1$, $x\_2$, $7$ form an arithmetic sequence, and $1$, $y\_1$, $y\_2$, $8$ form a geometric sequence, find the equation of the line passing through points $M(x\_1,y\_1)$ and $N(x\_2,y\_2)$.

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