Question

what is the length of the line segment?

Explanation:

Step1: Identify endpoints

Let the endpoints be $(2,6)$ and $(4,2)$.

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, $x_1 = 2,y_1 = 6,x_2 = 4,y_2 = 2$. So $d=\sqrt{(4 - 2)^2+(2 - 6)^2}=\sqrt{2^2+( - 4)^2}=\sqrt{4 + 16}=\sqrt{20}=2\sqrt{5}$.

Answer:

$2\sqrt{5}$