
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 the ellipse $\frac{{x}^{2}}{8}+\frac{{{y}^{2}}}{4}=1$, the coordinates of the midpoint $M$ of the chord $AB$ are $(1,1)$. Determine the equation of the line $AB$.

A) $x+2y-3=0$
B) $x-2y+1=0$
C) $2x+y-3=0$
D) $2x-y+1=0$

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