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

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

Given the points $(9, 5)$ and $(1, 6)$, let:

• $(x_1, y_1) = (9, 5)$
• $(x_2, y_2) = (1, 6)$

Now, substitute the values into the formula:

$m = \frac{6 - 5}{1 - 9} = \frac{1}{-8} = -\frac{1}{8}$

Thus, the slope of the line is $-\frac{1}{8}$.

Would you like more details on how the slope is calculated, or do you have any questions?

Here are some related questions for you:

1. What is the slope of a line passing through points $(3, 2)$ and $(7, 10)$?
2. How do you find the equation of a line using the slope and a point on the line?
3. What is the significance of the slope in real-world applications?
4. How does the slope of a vertical line differ from that of a horizontal line?
5. Can the slope be negative? What does that indicate about the direction of the line?

Tip: Always check if the points are distinct. If the points are the same, the slope is undefined.