Answer
$\sqrt{185}\approx13.601 \text{ units}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Distance Formula to find the distance between the given points $\left(
-2,1
\right)$ and $\left(
6,-10
\right)$.
$\bf{\text{Solution Details:}}$
With the given points, then $x_1=
-2
,$ $x_2=
6
,$ $y_1=
1
,$ and $y_2=
-10
.$ 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{(x_1-x_2)^2+(y_1-y_2)^2}
\\\\
d=\sqrt{(-2-6)^2+(1-(-10))^2}
\\\\
d=\sqrt{(-2-6)^2+(1+10)^2}
\\\\
d=\sqrt{(-8)^2+(11)^2}
\\\\
d=\sqrt{64+121}
\\\\
d=\sqrt{185}
.\end{array}
Hence, the distance is $
\sqrt{185}\approx13.601 \text{ units}
.$
