Answer:
[tex]AB\approx 6.7\ units[/tex]
Step-by-step explanation:
Distance between two points: Distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex]
[tex]A(-4,4)\ and\ B(2,1)\\\\AB=\sqrt{(1-4)^2+(2+4)^2}\\\\AB=\sqrt{(-3)^2+(6)^2}\\\\AB=\sqrt{45}\\\\AB=3\sqrt{5}\\\\AB\approx 6.7\ units[/tex]