Answer
$5$ units
Work Step by Step
With the given points, $
(-1,-5)
$ and $
(2,-1)
,$ we find:
\begin{align*}
x_1&=
-1
\\x_2&=
2
\\y_1&=
-5
\\y_2&=
-1
.\end{align*}
Using the Distance Formula: $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
$
\begin{align*}
d&=\sqrt{(-1-2)^2+(-5-(-1))^2}
\\&=
\sqrt{(-1-2)^2+(-5+1)^2}
\\&=
\sqrt{(-3)^2+(-4)^2}
\\&=
\sqrt{9+16}
\\&=
\sqrt{25}
\\&=
5
.\end{align*}
Hence, the distance between $
(-1,-5)
$ and $
(2,-1)
$ is $5$ units.
