
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 the points $(x_1, y_1), (x_2, y_2), (x_3, y_3), (x_4, y_4)$ where $x_1 < x_2 < x_3 < x_4$ and $x_4 - x_3 = x_3 - x_2 = x_2 - x_1 = d$, calculate the slope of the line that best fits the data.

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