
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 $y$ is a linear function of $x$, the following table lists some corresponding values:

| $x$ | $\ldots $ | $-2$ | $-1$ | $0$ | $1$ | $a$ | $\ldots $ |
|-----|-----------|------|------|-----|-----|-----|-----------|
| $y$ | $\ldots $ | $-3$ | $-1$ | $m$ | $3$ | $5$ | $\ldots $ |

Find the expression of this linear function and the values of $a$ and $m$.

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