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