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

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-Step Solution:

1. From the graph, we can see that the two points on the line are $(2, -1)$ and $(4, 5)$.

2. Let $(x_1, y_1) = (2, -1)$ and $(x_2, y_2) = (4, 5)$.

3. Plug these values into the slope formula:

   $\text{slope} = \frac{5 - (-1)}{4 - 2} = \frac{5 + 1}{2} = \frac{6}{2} = 3$

Answer:

The slope of the line is $3$.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. How would the slope change if the two points were closer together?
2. What is the significance of a positive vs. a negative slope?
3. How would you find the slope if given an equation rather than a graph?
4. How can the concept of slope be applied to real-world situations like determining speed?
5. What does a slope of zero indicate about the line?

Tip: Always choose points on the graph where the line crosses grid points exactly to avoid calculation errors.