The problem asks to find the slope of the line shown in the graph. To solve for the slope, we use the formula:

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

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

Looking at the graph, two points are marked on the line:

• The first point is approximately $(4, 2)$.
• The second point is approximately $(-4, 6)$.

Substituting these values into the slope formula:

$\text{slope} = \frac{6 - 2}{-4 - 4} = \frac{4}{-8} = -\frac{1}{2}$

Thus, the slope of the line is $-\frac{1}{2}$.

The correct choice is:

• A. The slope of the line is $-\frac{1}{2}$.

Would you like further explanation or have any other questions?

Here are some related questions to practice:

1. How do you interpret a slope of $-\frac{1}{2}$ geometrically?
2. What is the slope of a horizontal line?
3. What would the slope be if the line passed through the points $(2, 3)$ and $(4, -1)$?
4. How would the slope change if the line were steeper?
5. What is the relationship between slope and angle of inclination?

Tip: A negative slope means the line is decreasing as you move from left to right.