Question

fg is shown in the coordinate plane. what is the length of fg? if necessary, round your answer to the nearest tenth. units

Explanation:

Step1: Determine the coordinates of points F and G

From the coordinate plane, we can see that the coordinates of point \(F\) are \((1,-1)\) and the coordinates of point \(G\) are \((5,-4)\).

Step2: Use the 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, \(x_1 = 1,y_1=-1,x_2 = 5,y_2=-4\).
Substitute these values into the formula:

$$
LATEXBLOCK0
$$

Answer:

\(5.0\)