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!