Find the slope of the line that travels through the points (-3,-8) and (2,2). Simplify your final answer. If the slope is undefined then type undefined.

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.

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

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