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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**.