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

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

Looking at the graph:

1. We can select two points on the line. From observation, let's choose points $(0, -10)$ and $(4, -8)$.

2. Calculating the change in $y$ ($\Delta y$) and the change in $x$ ($\Delta x$):

   • $\Delta y = -8 - (-10) = 2$
   • $\Delta x = 4 - 0 = 4$

3. Therefore, the slope is: $\frac{\Delta y}{\Delta x} = \frac{2}{4} = \frac{1}{2}$

So, the slope of the line is $\frac{1}{2}$, which matches option A.

Would you like further details on this or have any questions?

Here are some related questions to explore further:

1. What is the importance of slope in linear equations?
2. How would the graph change if the slope was a negative fraction?
3. What is the slope-intercept form of a line equation?
4. How do you determine the slope of a vertical line?
5. What is the interpretation of slope in real-world contexts?

Tip: When finding the slope from a graph, choose points that lie exactly on the grid intersections to simplify calculations.