
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 the function $f(x)=a^{x-1} (a > 0 \text{ and } a \neq 1)$ which always passes through point $M$, and the line $y=kx-2k+3 (k \in \mathbb{R})$ which always passes through point $N$, find the equation of the line $MN$.

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