
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, $G$ and $H$ are the midpoints of $\overline{XY}$ and $\overline{YZ}$ respectively. Find the sum of the slope and $y$-intercept of the line passing through the points $Z$ and $G.$ Assume $X(0,8)$, $Y(0,0)$, and $Z(10,0)$.

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