In order to determine the length of the given segment, use the following formula for the distance between two points with coordinates (x1,y1) and (x2,y2):
[tex]d=\sqrt[\square]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case, for points A and B you have:
(x1,y1) = (-4,-3)
(x2,y2) = (6,3)
Replace the previous values of the parameters into the formula for d:
[tex]\begin{gathered} d=\sqrt[]{(6-(-4))^2+(3-(-3))^2} \\ d=\sqrt[]{(10)^2+(6)^2} \\ d=\sqrt[]{100+36} \\ d=\sqrt[]{136} \\ d\approx12 \end{gathered}[/tex]
Hence, the length of segment AB is approximately 12 units.
