
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 diagram, $D$ and $E$ are the midpoints of $\overline{AC}$ and $\overline{BC}$ respectively, where $A = (0, 8)$ and $B = (0, 0)$ are given points. Point $C$ lies at $(10, 0)$. Find the sum of the slope and $y$-intercept of the line passing through points $C$ and $D$.

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