
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 a circle with the equation $x^{2}+y^{2}=8$ and a point $P_{0}(-1,2)$ inside it. $AB$ is a chord passing through point $P_{0}$ with a slope angle of $α$.

(1) Find the length of $AB$ when $α= \frac{3π}{4}$;

(2) Write the equation of the line $AB$ when the chord $AB$ is bisected by point $P_{0}$.

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