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To find the slope of the line passing through two points, we use the formula for the slope \( m \):

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

In this case, the points are \( (-7, 8) \) and \( (5, -7) \).

Let:
- \( (x_1, y_1) = (-7, 8) \)
- \( (x_2, y_2) = (5, -7) \)

Now, applying the values into the formula:

\[
m = \frac{-7 - 8}{5 - (-7)} = \frac{-15}{5 + 7} = \frac{-15}{12} = -\frac{5}{4}
\]

So, the slope of the line is \( m = -\frac{5}{4} \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you find the equation of the line once you have the slope?
2. What is the significance of a negative slope?
3. How can you use the slope to find the angle of inclination of the line?
4. What happens to the slope if the points are switched?
5. How would you find the distance between the two points?

**Tip:** The slope tells you how steep a line is; a negative slope means the line goes downward from left to right.

Find the slope of the line passing through the points (-7, 8) and (5, -7).

This problem guides you on how to find the slope of a line passing through the points (-7, 8) and (5, -7). It uses the slope formula m = (y2 - y1) / (x2 - x1) and covers core concepts of Algebra and Coordinate Geometry. Suitable for students in Grades 8-10.

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