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.