Solution
Step 1
Write the coordinates of A and B.
A(-4, 2) and B(4, -2)
Step 2
Apply the distance between two points formula
[tex]\begin{gathered} D_{AB}\text{ = }\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ x_1\text{ = -4, y}_1=\text{ 2, x}_2\text{ = 4, y}_2\text{ = -2} \\ \\ D_{AB}\text{ =}\sqrt{(4-(-4))^2+(-2-2)^2} \end{gathered}[/tex]
Next, simplify further
[tex]\begin{gathered} D_{AB}\text{ = }\sqrt{(4+4)^2+(-4)^2} \\ \\ D_{AB}\text{ = }\sqrt{64+16} \\ \\ D_{AB}\text{ = }\sqrt{80} \\ \\ D_{AB}\text{ = }\sqrt{16\text{ }\times5} \\ \\ D_{AB}\text{ = 4}\sqrt{5} \end{gathered}[/tex]
Final answer
[tex]\begin{gathered} Option\text{ B} \\ 4\sqrt{5\text{ }}\text{ units} \end{gathered}[/tex]
