
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 point $\left(3,-3\right)$ and intersects the line $y=4x-3$ at a point on the $x$-axis.
$(1)$ Find the analytical expression of this linear function.
$(2)$ Find the area of the triangle formed by the graph of the linear function $y=kx+b$ and the coordinate axes.

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