Answer:
[tex]4\sqrt{17}[/tex]
Step-by-step explanation:
We remember the distance formula. Given two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex], the distance between them is [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex].
Aha! We can plug in these two points into the distance formula!.
We get [tex]\sqrt{(-8-8)^2+(5-1)^2}=\sqrt{(-16)^2+4^2}=\sqrt{256+16}=\sqrt{272}=4\sqrt{17}[/tex].
Therefore, the answer is [tex]\boxed{4\sqrt{17}}[/tex] and we're done!