The distance between two points P(x₁,y₁) and Q(x₂,y₂) can be calculated according to the following equation:
[tex]d(P,Q)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}^{}^{}[/tex]In this exercise, we have the points (2,0) and (8,6). We can substitute them in the formula above:
[tex]\begin{gathered} d=\sqrt[]{(8-2)^2+(6-0)^2} \\ d=\sqrt[]{(6)^2+(6)^2} \\ d=\sqrt[]{36+36} \\ d=\sqrt[]{72} \\ d=8.5 \end{gathered}[/tex]Answer: The distance between the points (2,0) and (8,6) is 8.5.