A line contains the points (−3, 7)
 and (−5, −2)
. What is the slope of the line?

To find the slope of the line that passes through two points \((-3, 7)\) and \((-5, -2)\), we use the slope formula:

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

Here, the points are:
- \((x_1, y_1) = (-3, 7)\)
- \((x_2, y_2) = (-5, -2)\)

Substituting these into the slope formula:

\[
m = \frac{-2 - 7}{-5 - (-3)} = \frac{-9}{-5 + 3} = \frac{-9}{-2} = \frac{9}{2}
\]

So, the slope of the line is:

\[
m = \frac{9}{2}
\]

Would you like more details, or do you have any questions?

### Here are 5 related questions:
1. How do you find the equation of a line given its slope and a point?
2. Can you find the equation of the line passing through \((-3, 7)\) and \((-5, -2)\)?
3. What is the slope of a vertical line?
4. How does the slope of a line relate to its steepness?
5. Can the slope be negative? If so, what does a negative slope represent?

### Tip:
Always remember that the slope tells you how much the line rises (or falls) for each unit you move horizontally.

A line contains the points (-3, 7) and (-5, -2). What is the slope of the line?

Learn how to find the slope of a line passing through the points (-3, 7) and (-5, -2) using the slope formula. This step-by-step guide is ideal for students in Grades 8-10 and covers key concepts in coordinate geometry.

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