Given the figure, we can deduce the following information:
Point A = (-1,2)
Point B = (1,-2)
To determine the distance AB, we first let:
[tex]\begin{gathered} (x_1,y_1)=(-1,2) \\ (x_2,y_2)=(1,-2) \end{gathered}[/tex]Next, we plug in what we know into the distance formula:
[tex]\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt{(1-(-1))^2+(-2-2)^2} \\ Simplify \\ d=\sqrt{4+16} \\ d=\sqrt{20} \\ d=4.5 \end{gathered}[/tex]Therefore, the answer is: 4.5