Fatou marks the points (3,−5)

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

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

Let's plug in the values where \((x_1, y_1) = (3, -5)\) and \((x_2, y_2) = (-2, -7)\):

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

Calculating the differences:

\[
d = \sqrt{(-5)^2 + (-2)^2}
\]

Calculating the squares:

\[
d = \sqrt{25 + 4} = \sqrt{29}
\]

Now we can calculate \(\sqrt{29}\):

\[
\sqrt{29} \approx 5.385
\]

Rounding this to the nearest tenth gives us:

\[
5.4
\]

Thus, the distance between the two points, rounded up to the nearest tenth, is about **5.4** units.