Question

Find the distance between (1, 3) and (6, -1).

3
6.4
6.7
7.3

Answer 1

To find the distance between the points (1, 3) and (6, -1), we can use the distance formula:

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

Here, \((x_1, y_1) = (1, 3)\) and \((x_2, y_2) = (6, -1)\).

Now, let's plug in the values:

\[
d = \sqrt{(6 - 1)^2 + (-1 - 3)^2}
\]

Calculating each part:

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

Now, let's compute \(\sqrt{41}\). The approximate value of \(\sqrt{41} \approx 6.4\).

Thus, the distance between the points (1, 3) and (6, -1) is approximately **6.4**.

Therefore, the answer is **6.4**.