
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 the provided diagram, $F$ and $E$ are midpoints of $\overline{AC}$ and $\overline{BC}$, respectively. Find the sum of the slope and $y$-intercept of the line passing through $F$ and $B.$ Points are \(A(0,6)\), \(B(0,0)\), \(C(8,0)\).
- Size diagram correspondingly, adding point $F$ at the midpoint of $\overline{AC}$.
- Add coordination to $E$ at midpoint of $\overline{BC}$.

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