Answer:
Step-by-step explanation:
[tex]A = (-2, -4) \\ B = (-8, 4) \\ d = (\sqrt{( {x_2 - x_1})^{2} + ({y_2 - y_1})^{2} } [/tex]
[tex]x_1 = - 2 \\ y_1 = - 4 \\ x_2 = - 8 \\ y_2 = 4[/tex]
[tex]d = \sqrt{ {( - 8 - ( - 2)}^{2} + {(4 - ( - 4))}^{2} } \\ d= \sqrt{ {( - 6)}^{2} + {8}^{2} } \\ d = \sqrt{36 + 64} \\ [/tex]
[tex]d = \sqrt{100} \\ d = 10[/tex]