Fatou marks the points (3,−5)

To find the distance between the two points \((3, -5)\) and \((-2, -7)\), we can use the distance formula, which is given by:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

In this case, we identify the points as:
- \( (x_1, y_1) = (3, -5) \)
- \( (x_2, y_2) = (-2, -7) \)

Substituting the coordinates into the distance formula:

\[
d = \sqrt{((-2) - 3)^2 + ((-7) - (-5))^2}
\]
\[
d = \sqrt{(-5)^2 + (-2)^2}
\]
\[
d = \sqrt{25 + 4}
\]
\[
d = \sqrt{29}
\]

Now, we calculate \(\sqrt{29}\). The approximate value of \(\sqrt{29}\) is about \(5.385\).

Rounding this value to the nearest tenth, we get:

\[
5.4
\]

Therefore, the distance is about **5.4 units**.