To find the slope of the line passing through two points, $(x_1, y_1)$ and $(x_2, y_2)$, we use the slope formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Given the points $(5, 9)$ and $(2, 7)$:

$m = \frac{7 - 9}{2 - 5} = \frac{-2}{-3} = \frac{2}{3}$

Thus, the slope of the line is $\frac{2}{3}$.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is the slope of a line that passes through points $(3, 4)$ and $(6, 10)$?
2. How do you find the equation of the line using a point and slope?
3. What does a zero slope indicate about the line?
4. How does the slope relate to the steepness of a line?
5. What happens to the slope if the points are reversed?

Tip: A positive slope indicates that the line rises from left to right, while a negative slope means it falls from left to right.