To find the slope of the line in the graph, we need to identify two clear points on the line. Looking at the image, we can see two points that the line passes through:

• Point 1: $(-2, -1)$
• Point 2: $(0, -2)$

The formula for the slope $m$ of a line is:

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

Substituting the coordinates of the two points:

$m = \frac{-2 - (-1)}{0 - (-2)} = \frac{-2 + 1}{0 + 2} = \frac{-1}{2}$

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

Would you like further details on this or any related questions? Here are some follow-up questions that could expand on this concept:

1. How do we interpret the meaning of a negative slope in a graph?
2. How would the equation of the line look given this slope and the y-intercept?
3. How do you calculate the slope when the points are not integers?
4. Can you explain how the slope affects the steepness of the line?
5. What is the relationship between parallel lines and their slopes?

Tip: Always choose points where the line crosses grid intersections for the most accurate calculation of the slope.