Respuesta :
Step-by-step explanation:
For two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex], the distance between them on a graph can be found with the following distance formula:
[tex]\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}[/tex]
Plugging in the points from the problem statement give us the following:
[tex]\sqrt{(2 - 10)^{2} + (-2 - (-8))^{2}}[/tex]
[tex]\sqrt{(-8)^{2} + (6)^{2}}[/tex]
[tex]\sqrt{64 + 36}[/tex]
[tex]\sqrt{100}[/tex]
[tex]10[/tex]