Find the slope of the line passing through the points (2,8) and (2,-2).

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula:

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

Given points are \((2, 8)\) and \((2, -2)\). Substituting the values:

\[
m = \frac{-2 - 8}{2 - 2} = \frac{-10}{0}
\]

Since the denominator is zero, the slope is undefined. This indicates that the line is vertical.

### Summary:
- The slope of the line is **undefined** because the line is vertical.

Would you like further clarification or details on this? Here are some related questions:

1. What does it mean for a line to have an undefined slope?
2. How do you find the slope of a horizontal line?
3. What are the characteristics of vertical and horizontal lines?
4. How can we determine if two lines are perpendicular?
5. How do slopes help in understanding the steepness of a line?

**Tip:** A vertical line always has an undefined slope because its x-coordinates are constant.

Learn how to find the slope of the line passing through the points (2,8) and (2,-2). This problem covers important concepts in coordinate geometry, explaining why the slope is undefined for vertical lines. Suitable for students in Grades 8-10.

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