
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
The transformation corresponding to the second-order matrix $M$ maps the points $(1,-1)$ and $(-2,1)$ to $(-1,-1)$ and $(0,-2)$, respectively. Let line $l$ be transformed by matrix $M$ into line $m$ with the equation $2x - y = 4$. Find the equation of line $l$.

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