Question

What is the distance, rounded to the nearest tenth, between the points 2 comma negative 2 and 6 comma 3? Enter the answer in the box.

Response area with 1 text input box
units

Answer 1

To find the distance between the points (2, -2) and (6, 3), we can use the distance formula:

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

Here, \((x_1, y_1) = (2, -2)\) and \((x_2, y_2) = (6, 3)\).

Substituting the values into the formula, we have:

\[
d = \sqrt{(6 - 2)^2 + (3 - (-2))^2}
\]
\[
d = \sqrt{(4)^2 + (5)^2}
\]
\[
d = \sqrt{16 + 25}
\]
\[
d = \sqrt{41}
\]

Now, we can approximate \(\sqrt{41}\):

\[
\sqrt{41} \approx 6.4
\]

Thus, rounded to the nearest tenth, the distance is

**6.4 units.**