To find the slope of the line passing through the points (0, 12) and (-4, 0), we can use the slope formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, we can assign the points as follows:
- Point 1: \( (x_1, y_1) = (0, 12) \)
- Point 2: \( (x_2, y_2) = (-4, 0) \)
Now substituting the coordinates into the slope formula:
\[ m = \frac{0 - 12}{-4 - 0} = \frac{-12}{-4} = 3 \]
Thus, the slope of the line is \( m = 3 \).