Question

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

Explanation:

Step1: Identify endpoints

By observing the graph, the two endpoints of the horizontal - line segment are \((1,3)\) and \((4,3)\).

Step2: Recall distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step3: Substitute values

Here, \(x_1 = 1,y_1=3,x_2 = 4,y_2 = 3\). Substitute into the formula: \(d=\sqrt{(4 - 1)^2+(3 - 3)^2}=\sqrt{3^2+0^2}=\sqrt{9}=3\).

Answer:

Endpoints: \((1,3)\), \((4,3)\)
Length = \(3\) units