Answer
$\sqrt{101}\approx10.050 \text{ units}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Distance Formula to find the distance between the given points $\left(
-7,-2
\right)$ and $\left(
3,-1
\right)$.
$\bf{\text{Solution Details:}}$
With the given points, then $x_1=
-7
,$ $x_2=
3
,$ $y_1=
-2
,$ 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{(-7-3)^2+(-2-(-1))^2}
\\\\
d=\sqrt{(-7-3)^2+(-2+1)^2}
\\\\
d=\sqrt{(-10)^2+(-1)^2}
\\\\
d=\sqrt{100+1}
\\\\
d=\sqrt{101}
.\end{array}
Hence, the distance is $
\sqrt{101}\approx10.050 \text{ units}
.$
