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To find the slope of the line passing through the points \((-1, 6)\) and \((13, 2)\), we use the slope formula:

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

Here:
- \((x_1, y_1) = (-1, 6)\)
- \((x_2, y_2) = (13, 2)\)

Substituting the values into the formula:

\[
m = \frac{2 - 6}{13 - (-1)} = \frac{-4}{13 + 1} = \frac{-4}{14}
\]

Simplifying:

\[
m = \frac{-2}{7}
\]

Thus, the slope of the line is \(\boxed{-\frac{2}{7}}\).

Would you like more details or have any other questions?

Here are 5 follow-up questions related to this topic:
1. How would the slope change if the second point was \((13, 10)\)?
2. Can you explain why the slope is negative in this case?
3. What is the equation of the line in point-slope form using \((-1, 6)\) as the point?
4. How do we find the equation of the line in slope-intercept form using this slope?
5. What does the slope represent in a real-world context, for example, in physics?

**Tip:** The slope tells you how steep a line is and whether it rises or falls when moving from left to right.

What is the slope of the line that passes through the points (-1, 6) and (13, 2)? Write your answer in simplest form.

Learn how to find the slope of a line passing through the points (-1, 6) and (13, 2) using the slope formula. This problem covers key algebraic concepts and is suitable for students in Grades 8-10.

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