
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
Two lines intersect on the Cartesian plane. The first line has a slope of $-5$ and passes through the point $(2,4)$. The second line has a slope of $3$ and passes through the point $(1,2)$. Write the equations for both lines in the form $y = mx + b$. Find the intersection point of these lines and determine the sum of the slopes $m_1 + m_2$ of these lines.

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