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To find the slope of a line passing through two points, we use the formula:

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

where:
- \((x_1, y_1) = (7, -5)\)
- \((x_2, y_2) = (3, -1)\)

Let's substitute the values:

\[
m = \frac{-1 - (-5)}{3 - 7} = \frac{-1 + 5}{3 - 7} = \frac{4}{-4} = -1
\]

### Answer:
The slope of the line through the points \((7, -5)\) and \((3, -1)\) is \(-1\).

Would you like a deeper explanation or have any questions?

Here are some related questions you might find interesting:
1. What is the equation of the line through these points?
2. How do you find the slope if given two points in a different format?
3. What does a negative slope mean in terms of the line's direction?
4. Can the slope formula be used in three-dimensional space?
5. How would the slope change if one of the points were different?

**Tip:** Remember that a negative slope means the line goes downward from left to right.

What is the slope of the line through the points (7, -5) and (3, -1)?

Learn how to calculate the slope of a line passing through the points (7, -5) and (3, -1). This problem uses the slope formula, covering essential algebraic and geometric concepts suitable for students in Grades 8-10.

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