Answer
$\sqrt{17} \text{ units}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Distance Formula to find the distance between the given points $\left(
-8,2
\right)$ and $\left(
-4,1
\right)$.
$\bf{\text{Solution Details:}}$
With the given points, then $x_1=
-8
,$ $x_2=
-4
,$ $y_1=
2
,$ and $y_2=
1
.$ Using the Distance Formula which is given by $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
,$ then
\begin{array}{l}\require{cancel}
d=\sqrt{(-8-(-4))^2+(2-1)^2}
\\\\
d=\sqrt{(-8+4)^2+(2-1)^2}
\\\\
d=\sqrt{(-4)^2+(1)^2}
\\\\
d=\sqrt{16+1}
\\\\
d=\sqrt{17}
.\end{array}
Hence, the distance is $
\sqrt{17} \text{ units}
.$