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To find the slope of the line that goes through the points \((-1, 10)\) and \( (8, -5) \), you use the formula for the slope between two points:

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

Substituting the coordinates of the given points:

\[
m = \frac{-5 - 10}{8 - (-1)} = \frac{-15}{9} = -\frac{5}{3}
\]

Therefore, the slope of the line is \(-\frac{5}{3}\).

Do you have any other questions about this calculation or need more details on it? Here are some follow-up topics you might find interesting:

1. How to find the equation of the line using the slope and a point.
2. What the sign of the slope indicates about the direction of the line.
3. How changes in the coordinates of the points affect the slope.
4. The geometric interpretation of the slope.
5. The relationship between the slopes of perpendicular lines.

**Tip:** When calculating the slope, always ensure you maintain the same order for subtracting the \(y\) and \(x\) values to avoid sign errors.

Find the slope of the line that goes through the points (-1, 10) and (8, -5).

Learn how to calculate the slope of a line passing through the points (-1, 10) and (8, -5) using the slope formula. This problem covers key concepts of coordinate geometry, including slope calculation. Suitable for students in Grades 7-9.

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