To find the slope of the line in the graph, we can use the formula for the slope $m$, which is given by:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Here, $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.

Step-by-Step Solution:

1. Identify two points on the line:

   • From the graph, it looks like two points on the line could be $(2, 3)$ and $(6, 6)$.

2. Substitute the coordinates into the slope formula: $m = \frac{6 - 3}{6 - 2} = \frac{3}{4}$

3. Calculate the slope: $m = \frac{3}{4}$

Conclusion:

The slope of the line is $\frac{3}{4}$.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you find the slope if the graph is not perfectly clear?
2. What is the significance of a positive vs. negative slope?
3. How would you calculate the slope if given two points without a graph?
4. What does the slope tell you about the steepness of the line?
5. How would the slope change if the line were horizontal or vertical?

Tip: When finding the slope from a graph, always ensure that the points you choose are as accurate as possible to avoid errors in the calculation.