
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
In a coordinate plane, a triangle is formed by the vertices $A=(2,4)$, $B=(6,2)$, and $C=(5,6)$. The triangle is plotted on an $8 \times 7$ grid. Determine the fraction of the grid covered by the triangle.
A) $\frac{1}{10}$
B) $\frac{1}{8}$
C) $\frac{1}{6}$
D) $\frac{1}{4}$

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