To find the slope of the line graphed in the image, we need to use two clear points on the line. From the graph, it appears there are two distinct points: approximately $(-3, 1)$ and $(2, 4)$.

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

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

Using the points $(-3, 1)$ and $(2, 4)$:

$m = \frac{4 - 1}{2 - (-3)} = \frac{3}{5}$

Thus, the slope of the line is $\frac{3}{5}$.

Would you like a more detailed breakdown of the calculation or have any questions about this problem?

Here are some related questions to expand your understanding:

1. How do you determine the slope if the line is vertical?
2. What would the slope be if the line were horizontal?
3. How can you interpret a negative slope visually on a graph?
4. What does a slope of zero imply about the line’s direction?
5. How does the slope affect the steepness of a line?

Tip: Remember, a positive slope indicates the line rises as it moves from left to right, while a negative slope means it falls.