To find the slope of the line in the graph, we use the formula:

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

We need two distinct points on the line. From the graph, two points that clearly lie on the line are:

• Point 1: $(-4, 1)$
• Point 2: $(4, -3)$

Using the slope formula:

$\text{slope} = \frac{{-3 - 1}}{{4 - (-4)}} = \frac{{-4}}{{8}} = -\frac{1}{2}$

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

Do you want more details or have any questions?

Here are 5 related questions for practice:

1. What is the y-intercept of the line?
2. How would you write the equation of the line in slope-intercept form $y = mx + b$?
3. How do you find the slope if given an equation in standard form?
4. What is the slope of a horizontal line?
5. How does the slope affect the steepness of a line?

Tip: The sign of the slope indicates the direction of the line. A negative slope means the line decreases as you move from left to right.