To find the slope of the line from the graph, we can use the formula for slope:

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

From the graph, we need to identify two points on the line and then apply the formula. Let's choose two points: one at $x = 0$, where the line intersects the y-axis, and another point with a known x-coordinate.

• From the graph, the line passes through the point $(0, -1)$ on the y-axis.
• Another point on the line appears to be $(2, -3)$.

Now, using these points: $x_1 = 0, \, y_1 = -1, \, x_2 = 2, \, y_2 = -3$

Substitute into the slope formula:

$\text{slope} = \frac{-3 - (-1)}{2 - 0} = \frac{-3 + 1}{2} = \frac{-2}{2} = -1$

Thus, the slope of the line is $-1$.

The correct answer is closest to option C: $-2$, but it seems there may be a slight discrepancy with the image scale or markers. The value should be approximately $-1$. Let me know if you'd like further clarification or more questions!

Here are some related questions:

1. How do you identify the slope when the line is not clear or is too steep?
2. How does the slope affect the direction of the line (ascending or descending)?
3. What is the relationship between slope and the steepness of a line?
4. How do you calculate the slope for vertical and horizontal lines?
5. What happens to the slope when the line has no change in x-values (vertical line)?

Tip: Always pick clear, labeled points on the line to avoid errors when calculating the slope.