
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
In the coordinate plane, points $O(0, 0)$, $A(5, 0)$, and $B(0, 4)$ are marked. The line $y = kx + b$ is such that for any point $M$ on this line, the area of the quadrilateral $AOBM$ is equal to 20. What is the value of $k$?

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