To find the slope of the line passing through the points (-5, 4) and (3, -3), we use the slope formula:

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

Given the points \((x_1, y_1) = (-5, 4)\) and \((x_2, y_2) = (3, -3)\), we substitute the values into the formula:

\[
m = \frac{-3 - 4}{3 - (-5)} = \frac{-7}{3 + 5} = \frac{-7}{8}
\]

So, the slope of the line is:

\[
m = \frac{-7}{8}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the equation of the line passing through these two points?
2. How do you interpret a negative slope in terms of the line's direction?
3. What is the distance between the two points?
4. How would you find the midpoint of the segment between these two points?
5. How does slope relate to the angle of inclination of the line?

**Tip:** A negative slope means the line decreases from left to right!

Discover how to calculate the slope of the line passing through the points (-5, 4) and (3, -3) using the slope formula. This problem involves key algebraic and geometric concepts, ideal for students in Grades 8-10.

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