
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 graph of a linear function $y=kx+b$ passes through the points $\left(1,2\right)$ and $\left(-1,6\right)$.
$(1)$ Find the expression of this linear function;
$(2)$ If the graph of this linear function intersects the $x$-axis at point $A$ and the $y$-axis at point $B$, find the value of $S_{\triangle OAB}$.

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