To find the distance between the points \((-8, -3)\) and \((-2, -5)\), we can use the distance formula, which is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \((x_1, y_1) = (-8, -3)\) and \((x_2, y_2) = (-2, -5)\).
Substituting the coordinates into the formula, we have:
\[ d = \sqrt{((-2) - (-8))^2 + ((-5) - (-3))^2} \]
Calculating the differences:
\[ x_2 - x_1 = -2 + 8 = 6 \] \[ y_2 - y_1 = -5 + 3 = -2 \]
Now substituting these differences back into the formula:
\[ d = \sqrt{(6)^2 + (-2)^2} \] \[ d = \sqrt{36 + 4} \] \[ d = \sqrt{40} \]
Now, we can simplify \(\sqrt{40}\):
\[ \sqrt{40} = \sqrt{4 \times 10} = 2\sqrt{10} \]
Next, we can calculate the numerical value of \(2\sqrt{10}\):
\(\sqrt{10} \approx 3.162\).
Therefore:
\[ d \approx 2 \times 3.162 \approx 6.324 \]
Rounding to the nearest hundredth, the distance is:
\[ \boxed{6.32} \]