To find the slope of the line that contains the points \((-5, -1)\) and \((-9, 2)\), we use the formula for the slope \(m\) given by:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Assigning the points to the variables:
- \( (x_1, y_1) = (-5, -1) \)
- \( (x_2, y_2) = (-9, 2) \)
Now plug in the values:
\[ m = \frac{2 - (-1)}{-9 - (-5)} = \frac{2 + 1}{-9 + 5} = \frac{3}{-4} = -\frac{3}{4} \]
Thus, the slope of the line that contains the points \((-5, -1)\) and \((-9, 2)\) is
\[ -\frac{3}{4}. \]
So, the answer is negative three fourths.