
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 two points in the plane, $A(8,-6)$ and $B(2,2)$.

(1) Find the equation of line $l$ that passes through point $P(2,-3)$ and is parallel to line $AB$.

(2) A beam of light is shot from point $B$ towards line $l$ found in part (1). If the reflected light passes through point $A$, find the equation of the line containing the reflected light.

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