Answer
$\sqrt{37} \text{ units}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Distance Formula to find the distance between the given points $\left(
-1,2
\right)$ and $\left(
5,3
\right)$.
$\bf{\text{Solution Details:}}$
With the given points, then $x_1=
-1
,$ $x_2=
5
,$ $y_1=
2
,$ and $y_2=
3
.$ 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{(-1-5)^2+(2-3)^2}
\\\\
d=\sqrt{(-6)^2+(-1)^2}
\\\\
d=\sqrt{36+1}
\\\\
d=\sqrt{37}
.\end{array}
Hence, the distance is $
\sqrt{37} \text{ units}
.$