The distance between the two points is .
The distance formula is:
[tex]distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
where the two points given are (x₂, y₁) and (x₂, y₂).
Plug the points (0, -6) and (9, 6) into the equation:
[tex]distance=\sqrt{(9-0)^{2}+[6-(-6)]^{2}}\\\\distance=\sqrt{(9)^{2}+(0)^{2}}\\\\distance=\sqrt{81+0}=\sqrt{81}\\\\\\distance=9[/tex]