To determine the slope of the line from the given graph:

Step 1: Identify two points on the line

From the graph, the line passes through the points:

1. $(-2, 3)$
2. $(2, -1)$

Step 2: Use the slope formula

The slope $m$ of a line is calculated using: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substitute the coordinates of the two points: $m = \frac{-1 - 3}{2 - (-2)} = \frac{-4}{4} = -1$

Final Answer:

The slope of the line is: $\boxed{-1}$

Let me know if you’d like further explanation!

Related Questions:

1. How do we interpret a negative slope in a graph?
2. What does the slope represent in real-world problems?
3. Can we calculate the slope of a vertical line?
4. How does changing the slope affect the appearance of a line?
5. How do we derive the equation of the line from this graph?

Tip:

To find the slope quickly from a graph, observe the "rise over run" between two points: count the vertical change and divide it by the horizontal change.