To find the slope of a line passing through two points, we use the slope formula:

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

Given the points $(1, 6)$ and $(13, 2)$, where:

• $(x_1, y_1) = (1, 6)$
• $(x_2, y_2) = (13, 2)$

Substitute the values into the formula:

$m = \frac{2 - 6}{13 - 1} = \frac{-4}{12} = \frac{-1}{3}$

So, the slope of the line is:

$m = -\frac{1}{3}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you interpret the slope of $-\frac{1}{3}$ geometrically?
2. Can you find the equation of the line passing through these two points?
3. How do we calculate the slope if the points are vertical?
4. What is the y-intercept of the line passing through these points?
5. What would the slope be if the points were $(1, 6)$ and $(1, 2)$?

Tip: The slope of a line tells you how much the y-value changes for every unit increase in the x-value.