Question

use the graph to determine the length of segment um. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point u: (-6, -6) coordinates (x2, y2) of point m: (-3, -3) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{(3)^2+(3)^2} d = the length of segment um is meters

Explanation:

Step1: Identify values for formula

Given $(x_1,y_1)=(-6,-6)$ and $(x_2,y_2)=(-3,-3)$. Calculate $x_2 - x_1=-3-(-6)=3$ and $y_2 - y_1=-3 - (-6)=3$.

Step2: Substitute into distance formula

We have the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substituting $x_2 - x_1 = 3$ and $y_2 - y_1=3$ gives $d=\sqrt{3^2 + 3^2}=\sqrt{9 + 9}=\sqrt{18}$.

Step3: Simplify the square - root

$\sqrt{18}=\sqrt{9\times2}=3\sqrt{2}$.

Answer:

$3\sqrt{2}$