[tex]A(-6,0) \ \ \ \ \rightarrow \ \ x_{A} = -6, \ \ y_{A} = 0\\B(-9,-3) \ \ \rightarrow \ \ x_{B} = -9, \ \ y_{B} = -3\\\\|AB| = \sqrt{(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2)}}\\\\\\|AB| =\sqrt{(-9-(-6))^{2}+(-3-0)^{2}} = \sqrt{(-9+6)^{2}+(-3)^{2}} = \sqrt{(-3)^{2}+(-3)^{2}}=\\\\=\sqrt{9+9} = \sqrt{9\cdot2} = 3\sqrt{2}\\\\\\\boxed{|AB|= 3\sqrt{2} }[/tex]
