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 point - G coordinates

Given point G has coordinates $(-1,8)$, so $(x_1,y_1)=(-1,8)$.

Step2: Identify point - L coordinates

Given point L has coordinates $(4,13)$, so $(x_2,y_2)=(4,13)$.

Step3: Calculate $x_2 - x_1$

$x_2 - x_1=4-(-1)=5$.

Step4: Calculate $y_2 - y_1$

$y_2 - y_1=13 - 8 = 5$.

Step5: Apply distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{5^2+5^2}=\sqrt{25 + 25}=\sqrt{50}=5\sqrt{2}\approx7.07$.

Answer:

$5\sqrt{2}\approx7.07$