The problem asks for the slope of a line containing the points $(-3, 7)$ and $(-5, -2)$.

To find the slope between two points, we use the slope formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

• $(x_1, y_1) = (-3, 7)$
• $(x_2, y_2) = (-5, -2)$

Substitute these values into the formula:

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

Thus, the slope of the line is:

$m = \frac{9}{2}$

So the correct answer is B. $\frac{9}{2}$.

Would you like more details or have any questions?

Here are five related questions to explore further:

1. What is the formula for finding the slope between two points?
2. How does the sign of the slope affect the direction of a line?
3. Can you find the equation of the line that passes through these two points?
4. How do you interpret the slope in real-world scenarios?
5. What is the slope of a vertical line?

Tip: When calculating slope, pay close attention to signs, as small errors with positive and negative numbers can lead to incorrect answers!