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[tex]A=(-5,-9)\longrightarrow x_A=-5, \ y_A=-9\\\\B=(1,-3)\longrightarrow x_B=1, \ y_B=-3\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\|AB|=\sqrt{(1-(-5))^2+(-3-(-9))^2}\\\\|AB|=\sqrt{(1+5)^2+(-3+9)^2}\\\\|AB|=\sqrt{6^2+6^2}=\sqrt{6^2\cdot2}\\\\\boxed{|AB|=6\sqrt2}[/tex]
