
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 a linear function $y=kx-4$, when $x=2$, $y=-3$.  
$(1)$ Find the expression of the linear function;  
$(2)$ The graph of the function is shifted $6$ units upwards. The shifted graph intersects the $x$-axis at point $A$ and the $y$-axis at point $B$. Point $O$ is the origin. Find the area of $\triangle ABO$.

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