Question

Find the distance
(3,1)(-6,-3)

Answer 1

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

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

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

Substituting these coordinates into the formula, we get:

\[
d = \sqrt{((-6) - 3)^2 + ((-3) - 1)^2}
\]
\[
d = \sqrt{(-9)^2 + (-4)^2}
\]
\[
d = \sqrt{81 + 16}
\]
\[
d = \sqrt{97}
\]

Thus, the distance between the points \((3, 1)\) and \((-6, -3)\) is \(\sqrt{97}\).