
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
Let the function $f(x)=e^{x}-ax$, where $a$ is a constant.  
(I) If $a=1$, and the tangent line $l$ of the curve $y=f(x)$ passes through the origin $(0,0)$, find the equation of this tangent line;  
(II) Discuss the number of zeros of $f(x)$.

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