Answer
$d\approx 6.71
\text{ units}
$
Work Step by Step
Using $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ or the Distance Formula, then the distance, $d$, between the given points $(
6,-1
)$ and $(
9,5
)$ is
\begin{array}{l}\require{cancel}
d=\sqrt{(6-9)^2+(5-(-1))^2}
\\\\
d=\sqrt{(-3)^2+(6)^2}
\\\\
d=\sqrt{9+36}
\\\\
d=\sqrt{45}
\\\\
d=\sqrt{9\cdot5}
\\\\
d=\sqrt{(3)^2\cdot5}
\\\\
d=3\sqrt{5}
\\\\
d\approx 6.71
\text{ units}
.\end{array}