Question

Find the distance (-8,-8)(-6,-4)

Answer 1

To find the distance between two points \((-8, -8)\) and \((-6, -4)\), you can use the distance formula:

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

Here, \((x_1, y_1) = (-8, -8)\) and \((x_2, y_2) = (-6, -4)\).

Substituting the coordinates into the formula:

\[
d = \sqrt{((-6) - (-8))^2 + ((-4) - (-8))^2}
\]
\[
= \sqrt{(-6 + 8)^2 + (-4 + 8)^2}
\]
\[
= \sqrt{(2)^2 + (4)^2}
\]
\[
= \sqrt{4 + 16}
\]
\[
= \sqrt{20}
\]
\[
= \sqrt{4 \times 5}
\]
\[
= 2\sqrt{5}
\]

Thus, the distance between the points \((-8, -8)\) and \((-6, -4)\) is \(2\sqrt{5}\).