To find the slope of the line that passes through the points \((10, 8)\) and \((1, 9)\), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Where:
- \((x_1, y_1) = (10, 8)\)
- \((x_2, y_2) = (1, 9)\)
Now substituting the values into the formula:
\[ m = \frac{9 - 8}{1 - 10} = \frac{1}{-9} = -\frac{1}{9} \]
Thus, the slope of the line is:
\[ \text{Slope} = -\frac{1}{9} \]