
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 the numbers 1, $x_1$, $x_2$, 7 form an arithmetic sequence, and the numbers 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}
user