Question

complete the sentence below. the segment has a length of and endpoints at and

Explanation:

Step1: Identify endpoints

From the graph, point A has coordinates (-1, 4) and point B has coordinates (3, 1).

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-1,y_1 = 4,x_2=3,y_2 = 1$. So $d=\sqrt{(3-(-1))^2+(1 - 4)^2}=\sqrt{(4)^2+(-3)^2}=\sqrt{16 + 9}=\sqrt{25}=5$.

Answer:

The segment $\overline{AB}$ has a length of $5$ and endpoints at $(-1,4)$ and $(3,1)$.