Question

the coordinates of point g are (-1, 8). the coordinates of point l are (-4, 13). determine the length of segment gl. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point g: (?,?) coordinates (x2, y2) of point l: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the length of segment gl is meters

Explanation:

Step1: Identify coordinates

Given point G(-1, 8) so $x_1=-1,y_1 = 8$; point L(-4, 13) so $x_2=-4,y_2 = 13$.

Step2: Substitute into distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(-4-(-1))^2+(13 - 8)^2}=\sqrt{(-3)^2+5^2}$.

Step3: Calculate squares and sum

$(-3)^2 = 9$, $5^2=25$, then $(-3)^2+5^2=9 + 25=34$. So $d=\sqrt{34}$.

Answer:

$\sqrt{34}$