
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
It is known that the length of a spring $y$ (in centimeters) within certain limits is a linear function of the mass $x$ (in kilograms) of the object hanging from it. It has been measured that when no weight is hung, the length of the spring is 6 centimeters. When a 4-kilogram weight is hung, the length of the spring is 7.2 centimeters. Find the length of the spring when a 5-kilogram weight is hung.

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