To determine the slope of the line from the graph, we can follow these steps:

1. Identify two points on the line: From the graph, it seems that the line passes through the points $(2, -2)$ and $(4, -3)$.

2. Use the slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$ Where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.

Let me plug in the values:

$\text{slope} = \frac{-3 - (-2)}{4 - 2} = \frac{-3 + 2}{2} = \frac{-1}{2}$

Thus, the slope of the line is $-\frac{1}{2}$.

Would you like more details or have any questions about this? Here are some related questions:

1. How do you interpret the slope of a line in real-world contexts?
2. Can a line have a positive or undefined slope? How does that look on a graph?
3. What is the equation of a line given the slope and a point?
4. How do you calculate the slope of vertical and horizontal lines?
5. What are the differences between slopes in parallel and perpendicular lines?

Tip: Always pick two points that are easy to read from the graph to minimize calculation errors when finding the slope!