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To determine the slope of the line represented on the graph, we can use the formula for slope, \( m = \frac{\Delta y}{\Delta x} \), which is the change in \( y \)-coordinates divided by the change in \( x \)-coordinates between two points on the line.

### Step-by-Step Solution:
1. **Identify Two Points on the Line**: 
   From the graph, we can observe two points where the line crosses grid points:
   - Point 1: (0, 0) (the origin)
   - Point 2: (3, -1)

2. **Calculate the Change in \( y \) (Δy)**:
   \[
   \Delta y = y_2 - y_1 = -1 - 0 = -1
   \]

3. **Calculate the Change in \( x \) (Δx)**:
   \[
   \Delta x = x_2 - x_1 = 3 - 0 = 3
   \]

4. **Calculate the Slope**:
   \[
   m = \frac{\Delta y}{\Delta x} = \frac{-1}{3} = -\frac{1}{3}
   \]

### Conclusion:
The slope of the line is \( m = -\frac{1}{3} \).

### Answer:
The correct answer is:
\[
m = -\frac{1}{3}
\]

Would you like a further breakdown or have any questions?

Here are some related questions:
1. How is the slope formula derived?
2. What does a negative slope indicate about the direction of a line?
3. How would the slope change if the line was steeper?
4. What is the significance of the slope in real-life applications?
5. How can you find the y-intercept from this graph?

**Tip:** When finding the slope, always pick two clear points on the line for accurate calculation.

What is the slope of the line represented by the graph?

Learn how to find the slope of a line from a graph with this step-by-step solution. The problem covers key concepts in coordinate geometry and the slope formula, ideal for students in Grades 8-10.

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