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To find the slope of the line that passes through the points \((-15, -6)\) and \((2, -12)\), we use the slope formula:

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

Substitute the given points into the formula, where:
- \((x_1, y_1) = (-15, -6)\)
- \((x_2, y_2) = (2, -12)\)

\[
m = \frac{-12 - (-6)}{2 - (-15)} = \frac{-12 + 6}{2 + 15} = \frac{-6}{17}
\]

Thus, the slope \(m = -\frac{6}{17}\).

Would you like further details or have any questions? Here are some related questions:

1. How is the slope formula derived from the equation of a line?
2. What does the negative slope of \(-6/17\) indicate about the direction of the line?
3. How do you find the slope of a vertical or horizontal line?
4. What would the equation of the line be using this slope and one of the points?
5. Can the slope formula be used in three-dimensional space?

**Tip:** When calculating slope, make sure you subtract the coordinates consistently: \((y_2 - y_1)\) and \((x_2 - x_1)\). Reversing the order affects the sign of the slope.

Find the slope of the line that goes through the points (-15,-6) and (2,-12).

Learn how to calculate the slope of a line passing through the points (-15,-6) and (2,-12). This problem explores key concepts in algebra and coordinate geometry, including the slope formula m = (y2 - y1) / (x2 - x1). Suitable for students in Grades 7-9.

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