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

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

Given the points $(1, 3)$ and $(6, 8)$, we can identify $x_1 = 1$, $y_1 = 3$, $x_2 = 6$, and $y_2 = 8$. Plugging these values into the formula:

$m = \frac{{8 - 3}}{{6 - 1}} = \frac{5}{5} = 1$

So, the slope of the line is $1$.

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. What is the slope if the points were $(1, 3)$ and $(4, 7)$?
2. How do you interpret the slope geometrically?
3. What is the equation of the line passing through $(1, 3)$ and $(6, 8)$?
4. How does the slope change if both points are shifted by a constant value?
5. What is the relationship between slope and parallel lines?

Tip: The slope is a measure of how steep a line is and represents the rate of change of $y$ with respect to $x$.