The problem asks to find the slope of the line passing through the points $(-7, -4)$ and $(8, 8)$.

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

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

In this case:

• $(x_1, y_1) = (-7, -4)$
• $(x_2, y_2) = (8, 8)$

Now, apply the formula:

$m = \frac{8 - (-4)}{8 - (-7)} = \frac{8 + 4}{8 + 7} = \frac{12}{15} = \frac{4}{5}$

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

Would you like more details or have any questions? Here are some related questions to further your understanding:

1. How does the slope of a line relate to its steepness?
2. What is the significance of a positive vs. negative slope?
3. How can you find the equation of the line using the slope and one point?
4. What happens if the slope is undefined (vertical line)?
5. How can the distance between two points be calculated?

Tip: The slope of a line describes how much the $y$-value changes for each unit change in $x$. A larger slope means a steeper line.