To find the slope of a line that passes through the points \( (0, 5) \) and \( (4, 9) \), you can use the slope formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \( (x_1, y_1) = (0, 5) \) and \( (x_2, y_2) = (4, 9) \).
Plugging in the coordinates:
\[ m = \frac{9 - 5}{4 - 0} = \frac{4}{4} = 1 \]
So, the slope of the line passing through the points \( (0, 5) \) and \( (4, 9) \) is \( 1 \).