Answer: The required length of AB is 7.28 units.
Step-by-step explanation: We are given to find the length of line segment AB to the nearest hundredth.
From the graph, we note that the co-ordinates of point A are (-5, -4) and co-ordinates of B are (-3, 3).
We know that the length of AB is the distance between the points A and B.
<em><u>DISTANCE FORMULA :</u></em> The distance between the points (a, b) and (c, d) is given by
![D=\sqrt{(c-a)^2+(d-b)^2}.](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28c-a%29%5E2%2B%28d-b%29%5E2%7D.)
The distance between the points A(-5, -4) and B(-3, 3) is given by
![D=\sqrt{(-3+5)^2+(3+4)^2}=\sqrt{4+49}=\sqrt{53}=7.2801.](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-3%2B5%29%5E2%2B%283%2B4%29%5E2%7D%3D%5Csqrt%7B4%2B49%7D%3D%5Csqrt%7B53%7D%3D7.2801.)
Rounding to nearest hundredth, we get
D = 7.28 units.
Thus, the required length of AB is 7.28 units.