Question

Find the distance between (8,-9) and (5,-3)

Answer 1

To find the distance between the two points \((x_1, y_1) = (8, -9)\) and \((x_2, y_2) = (5, -3)\), we can use the distance formula:

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

Plugging in the coordinates:

\[
d = \sqrt{(5 - 8)^2 + (-3 - (-9))^2}
\]
\[
= \sqrt{(-3)^2 + (6)^2}
\]
\[
= \sqrt{9 + 36}
\]
\[
= \sqrt{45}
\]
\[
= \sqrt{9 \times 5}
\]
\[
= 3\sqrt{5}
\]

Thus, the distance between the points \((8, -9)\) and \((5, -3)\) is \(3\sqrt{5}\).