Question

use the graph to determine the length of segment de. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1,y1) of point d: (?,?) coordinates (x2,y2) of point e: (?,?) q = \sqrt{(x2 - x1)^2+(y2 - y1)^2} q = \sqrt{( )^2+( )^2} q = the length of segment de is meters

Explanation:

Step1: Identify coordinates

From the graph, the coordinates of point D are $(0, - 1)$ and of point E are $(-2,-1)$.

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, $x_1 = 0,y_1=-1,x_2=-2,y_2 = - 1$. Substitute into the formula: $d=\sqrt{(-2 - 0)^2+(-1+1)^2}=\sqrt{(-2)^2+0^2}=\sqrt{4 + 0}=\sqrt{4}$.

Step3: Calculate the distance

$\sqrt{4}=2$.

Answer:

2