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To find the slope of the line that passes through the points \( (8, -6) \) and \( (11, -12) \), we use the slope formula:

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

where \( (x_1, y_1) = (8, -6) \) and \( (x_2, y_2) = (11, -12) \).

Substituting these values into the formula gives:

\[
m = \frac{-12 - (-6)}{11 - 8} = \frac{-12 + 6}{3} = \frac{-6}{3} = -2
\]

Thus, the slope of the line is \( -2 \). 

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the equation of a line given its slope and a point?
2. What does the slope represent in real-world contexts?
3. How would you find the slope of a vertical line?
4. What is the significance of a slope being negative?
5. How do you find the slope if given a line in the form \( ax + by = c \)?

**Tip:** Remember, if the slope is negative, the line decreases from left to right.

What is the slope of the line that passes through the points (8, -6) and (11, -12)?

Learn how to find the slope of a line passing through the points (8, -6) and (11, -12) using the slope formula. This geometry problem is ideal for students in Grades 8-10 and covers essential concepts like coordinate geometry and slope calculations.

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