
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 that the set of points $\{(x,y)|(m+3)x+y=3m-4\} \cap \{(x,y)|7x+(5-m)y-8=0\} = \varnothing$, find the area of the triangle formed by the line $(m+3)x+y=3m+4$ and the coordinate axes.

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