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To find the slope of the line that passes through the points \((6, 6)\) and \((-8, 6)\), we use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substitute the given points \((x_1, y_1) = (6, 6)\) and \((x_2, y_2) = (-8, 6)\):

\[
m = \frac{6 - 6}{-8 - 6} = \frac{0}{-14} = 0
\]

Thus, the slope \(m = 0\). This means the line is horizontal.

Would you like further details or have any questions?

Here are five related questions to explore:
1. How would the slope change if the points were \((6, 6)\) and \((6, -8)\)?
2. What is the equation of the line passing through the points \((6, 6)\) and \((-8, 6)\)?
3. What is the slope of a vertical line?
4. How do you calculate the slope between two arbitrary points in 3D space?
5. How do parallel and perpendicular slopes relate?

**Tip:** A zero slope indicates a horizontal line, where all points have the same \(y\)-coordinate.

Find the slope of the line that passes through the points (6, 6) and (-8, 6). Simplify your answer.

Learn how to find the slope of the line passing through points (6, 6) and (-8, 6). This coordinate geometry problem uses the slope formula to simplify the result. Suitable for students in Grades 6-8.

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