[tex]A = (2,2) \ \ \ \ \rightarrow \ \ x_{A} = 2, \ \ y_{A} = 2\\B = (9,-3) \ \ \rightarrow \ \ x_{B} = 9, \ \ y_{B} = -3\\\\\\|AB| = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}}[/tex]
[tex]|AB| =\sqrt{(9-2)^{2}+(-3-2)^{2}} = \sqrt{7^{2}+(-5)^{2}} = \sqrt{49+25} = \sqrt{74}[/tex]
[tex]\boxed{|AB| = \sqrt{74}}[/tex]
