To find the distance between the points (3, -5) and (-2, -7), we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Where:
- \((x_1, y_1) = (3, -5)\)
- \((x_2, y_2) = (-2, -7)\)
Substituting the coordinates into the formula gives us:
\[ d = \sqrt{((-2) - 3)^2 + ((-7) - (-5))^2} \]
Calculating inside the parentheses:
\[ d = \sqrt{(-5)^2 + (-2)^2} \] \[ d = \sqrt{25 + 4} \] \[ d = \sqrt{29} \]
Now, calculating \(\sqrt{29}\):
\[ \sqrt{29} \approx 5.385 \]
Rounding this to the nearest tenth:
\[ \text{Distance} \approx 5.4 \text{ units} \]
Thus, the distance is about 5.4 units.