Question

the coordinates of point g are (9, 4). the coordinates of point l are (8, 7). determine the length of segment gl. enter the coordinates of the two given points and then calculate the distance between them. coordinates $(x_1,y_1)$ of point g: (?,?) coordinates $(x_2,y_2)$ of point l: (?,?) $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ $d = \sqrt{( )^2+( )^2}$ $d=$

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(9,4)$ for point G and $(x_2,y_2)=(8,7)$ for point L.

Step2: Substitute into distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(8 - 9)^2+(7 - 4)^2}$

Step3: Calculate values inside square - root

$(8 - 9)^2=(-1)^2 = 1$ and $(7 - 4)^2=3^2 = 9$. So $d=\sqrt{1 + 9}$.

Step4: Simplify square - root

$d=\sqrt{10}$

Answer:

$\sqrt{10}$