To find the slope of the line shown in the image, we need to use the slope formula:

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

Looking at two points on the line:

• One point is at (-3, 0).
• Another point is at (3, -4).

Now, using the formula: $\text{slope} = \frac{-4 - 0}{3 - (-3)} = \frac{-4}{3 + 3} = \frac{-4}{6} = -\frac{2}{3}$

So, the slope of the line is $-\frac{2}{3}$.

Do you want more details or have any questions?

Related Questions:

1. How do you calculate the slope if the points are not exact?
2. What does a negative slope indicate about a line's direction?
3. Can the slope be positive, and if so, what would it look like?
4. What happens if two points are vertically aligned? What is the slope?
5. How does the slope affect the steepness of a line?

Tip:

Remember, the slope tells you how steep the line is and the direction (upward or downward) depending on its sign.