Our two points are (2,-3) and (8,-9). To find the distance between these two points, we can use the distance formula: d = [tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2} - y_{1})^2 }[/tex].
Plug in values and solve for d:
d = [tex]\sqrt{(8-2)^2 + (-9 - -3)^2\\}[/tex]
d = [tex]\sqrt{(6)^2 + (-6)^2}[/tex]
d = [tex]\sqrt{36 + 36}[/tex]
d = [tex]\sqrt{72}[/tex]
The correct answer is C - [tex]\sqrt{72}[/tex]
Hope this helps!! :)
