To find the slope of the line shown in the graph, we can use the formula for the slope between two points, $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are any two points on the line.

From the graph, I can identify two clear points:

1. $(-2, -2)$
2. $(2, -4)$

Let's calculate the slope:

$m = \frac{-4 - (-2)}{2 - (-2)} = \frac{-4 + 2}{2 + 2} = \frac{-2}{4} = -\frac{1}{2}$

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

Would you like a further breakdown of this solution?

Here are some related questions for practice:

1. How would the slope change if the line were going upwards instead of downwards?
2. Can you find the y-intercept of the line using the slope and one of the points?
3. What does a slope of $-\frac{1}{2}$ tell us about the angle of the line relative to the x-axis?
4. If the line were shifted up by 3 units, what would the new equation of the line be?
5. How can you tell from the graph that the slope is negative without calculating it?

Tip: The slope tells us the rate of change of $y$ with respect to $x$. A negative slope indicates a decrease in $y$ as $x$ increases.