
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
(1) Given points $B(-4,0)$ and $C(-2,4)$, find the equation of the perpendicular bisector line $EF$ of side $BC$.

(2) Draw a line through point $P(-1,-2)$ such that the segment between the two coordinate axes is bisected by point $P$. Find the equation of this line.

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