To find the slope of the line that passes through the points (0, 4) and (3, -1), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, we can assign:
- \( (x_1, y_1) = (0, 4) \)
- \( (x_2, y_2) = (3, -1) \)
Now, substitute the values into the formula:
\[ m = \frac{-1 - 4}{3 - 0} \]
Calculating the differences:
\[ m = \frac{-5}{3} \]
Thus, the slope of the line is \(-\frac{5}{3}\).