To find the slope of a line given two points, you can use the formula for slope \( m \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In your case, the two points are (4, 7) and (2, 2). Here, \( (x_1, y_1) = (4, 7) \) and \( (x_2, y_2) = (2, 2) \).
Now substitute the values into the slope formula:
\[ m = \frac{2 - 7}{2 - 4} = \frac{-5}{-2} = \frac{5}{2} \]
Thus, the slope of the line is \( \frac{5}{2} \).