To find the slope $m$ of the line that passes through the points $(-3, -8)$ and $(2, 2)$, use the slope formula:

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

where:

• $(x_1, y_1) = (-3, -8)$
• $(x_2, y_2) = (2, 2)$

Substitute these values into the formula:

$m = \frac{2 - (-8)}{2 - (-3)}$

Simplify:

$m = \frac{2 + 8}{2 + 3} = \frac{10}{5} = 2$

So, the slope of the line is:

$\boxed{2}$

Would you like further clarification on this solution?

Here are 5 related questions:

1. How do you find the equation of a line given two points?
2. What does a positive slope indicate about the direction of a line?
3. How can you determine if two lines are parallel based on their slopes?
4. How is slope related to the angle a line makes with the x-axis?
5. What is the significance of an undefined slope?

Tip: When calculating slope, pay attention to the order of points to avoid sign errors.