
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 points A $(x_1, y_1)$ and B $(x_2, y_2)$ are two distinct points on the graph of the linear function $y=2x-kx+1$, and $m=(x_1-x_2)(y_1-y_2)$, determine the range of values for $k$ when $m<0$.

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