Question

use the distance formula to find the length of the segment on the graph (do not include units)

Explanation:

Step1: Identify endpoints

Let the endpoints be $(-3,1)$ and $(3, - 5)$.

Step2: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step3: Substitute values

Here $x_1=-3,y_1 = 1,x_2=3,y_2=-5$. Then $d=\sqrt{(3-(-3))^2+((-5 - 1))^2}=\sqrt{(3 + 3)^2+(-6)^2}=\sqrt{6^2+(-6)^2}=\sqrt{36 + 36}=\sqrt{72}=6\sqrt{2}$.

Answer:

$6\sqrt{2}$