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To identify the slope of the line in the graph, we follow these steps:

1. **Pick two points** on the line. The red line crosses through obvious points at \((0, -3)\) and \((4, 0)\).

2. **Calculate the slope** using the formula:
   \[
   \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

   - The first point is \((0, -3)\) and the second point is \((4, 0)\).
   - The difference in the \(y\)-coordinates (rise) is: \(0 - (-3) = 3\).
   - The difference in the \(x\)-coordinates (run) is: \(4 - 0 = 4\).

3. **Calculate the slope**:
   \[
   \text{slope} = \frac{3}{4}
   \]

Thus, the slope of the line is \(\frac{3}{4}\), which corresponds to option D in the multiple choice answers.

Would you like more details or have any questions?

Here are some related questions:
1. How do you determine the equation of a line given the slope and one point?
2. How does the slope affect the steepness and direction of a line?
3. What is the difference between positive and negative slopes?
4. Can the slope of a vertical line be calculated in the same way?
5. How do you find the slope when the coordinates are fractions or decimals?

**Tip**: Remember, the slope tells you how steep a line is. Positive slopes go upward from left to right, while negative slopes go downward!

Identify the slope of the line in the graph provided.

Learn how to identify the slope of a line from a graph using two points and the slope formula. This problem involves coordinate geometry and is suitable for students in Grades 6-8. Includes detailed step-by-step solution.

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