Question

what is the length of $overline{ab}$? a 6 units b 8 units c 10 units d 14 units e 16 units

Explanation:

Step1: Identify coordinates

Let's assume point A has coordinates $(x_1,y_1)$ and point B has coordinates $(x_2,y_2)$. From the graph, if we assume A is at $(-5,3)$ and B is at $(3, - 3)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1=-5,y_1 = 3,x_2=3,y_2=-3$ into the formula: $d=\sqrt{(3-(-5))^2+(-3 - 3)^2}=\sqrt{(3 + 5)^2+(-6)^2}=\sqrt{64 + 36}=\sqrt{100}=10$.

Answer:

C. 10 units