Question

distance, midpoint, and slope formula practice
identify the two endpoints of the segment shown, then find the length of the segment using the distance formula. round to the nearest tenth if necessary.
endpoints: ( ), ( )
length = units

Explanation:

Step1: Identify endpoints

By observing the graph, the endpoints are $(0, 3)$ and $(5, 0)$.

Step2: Apply 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 $x_1 = 0,y_1=3,x_2 = 5,y_2 = 0$. So $d=\sqrt{(5 - 0)^2+(0 - 3)^2}=\sqrt{25 + 9}=\sqrt{34}$.

Answer:

Endpoints: $(0,3),(5,0)$
Length = $\sqrt{34}$ units