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

$\text{slope} = \frac{\text{rise}}{\text{run}}$

Where:

• Rise is the change in the y-coordinates (vertical change).
• Run is the change in the x-coordinates (horizontal change).

Looking at the two points on the graph:

• One point is $(-2, -4)$.
• The other point is $(2, -2)$.

Now, calculate the rise (change in $y$) and the run (change in $x$):

• Rise: $y_2 - y_1 = -2 - (-4) = -2 + 4 = 2$
• Run: $x_2 - x_1 = 2 - (-2) = 2 + 2 = 4$

So, the slope is:

$\text{slope} = \frac{2}{4} = \frac{1}{2}$

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

Do you want further clarification or have any additional questions? Here are some related questions you might find useful:

1. How do you find the slope when given a different set of points?
2. What happens to the slope if the line is horizontal or vertical?
3. How do you graph a line using the slope-intercept form?
4. Can you calculate the slope of a line using just the equation of the line?
5. What does a negative slope indicate about the direction of the line?

Tip: Always remember that the slope tells you how steep the line is, and its sign (positive or negative) indicates the direction (upwards or downwards).