To find the slope of the line passing through the points $(3, 4)$ and $(8, 8)$, you can use the slope formula:

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

Where $(x_1, y_1) = (3, 4)$ and $(x_2, y_2) = (8, 8)$.

Substitute the values into the formula:

$m = \frac{8 - 4}{8 - 3} = \frac{4}{5}$

Thus, the slope of the line is $\frac{4}{5}$.

Would you like a detailed explanation of the slope formula or have any other questions on this?

Here are 5 related questions:

1. How do you determine the equation of a line from two points?
2. What does a slope of $\frac{4}{5}$ represent graphically?
3. How can you calculate the slope if one of the points is the origin?
4. What is the slope of a vertical or horizontal line?
5. How does the slope formula change if you're given the slope and one point?

Tip: The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between two points.