
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
You gather data on the height (in cm) versus the time spent studying (in hours) for three of your classmates and note down the points $(x_{1}, y_{1}) = (150, 2), (x_{2}, y_{2}) = (160, 3), (x_{3}, y_{3}) = (170, 4)$. The data points are equally spaced in terms of height. Calculate the slope of the line that best fits this data set.
A) $\frac{3}{20}$
B) $\frac{1}{2}$
C) $\frac{1}{10}$
D) $\frac{1}{5}$

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