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

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

Step 1: Identify Two Points on the Line

From the image, two points on the line are:

• (-8, 3)
• (4, -1)

Step 2: Apply the Slope Formula

$m = \frac{{-1 - 3}}{{4 - (-8)}}$

$m = \frac{{-4}}{{4 + 8}}$

$m = \frac{{-4}}{{12}}$

$m = -\frac{1}{3}$

Final Answer:

The slope of the line is $-\frac{1}{3}$.

Would you like a detailed explanation of how slopes work? Here are some related questions you might find useful:

1. How do you determine if a line is increasing or decreasing based on its slope?
2. What is the difference between positive and negative slopes?
3. How can you find the equation of a line using the slope and a point?
4. What does a slope of zero or an undefined slope represent?
5. How can slopes be used in real-world applications?

Tip: A negative slope means the line moves downward from left to right.