Question

find the midpoint of the line segment joining the points ( p_1 ) and ( p_2 ).
( p_1 = (-2, 8), p_2 = (7, 0) )
the midpoint of the line segment joining the points ( p_1 ) and ( p_2 ) is
(simplify your answer. type an ordered pair.)

Explanation:

Step1: Recall the midpoint formula

The midpoint formula for two points \(P_1=(x_1,y_1)\) and \(P_2=(x_2,y_2)\) is \(M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\).

Step2: Identify the coordinates

Given \(P_1=(-2,8)\) and \(P_2=(7,0)\), so \(x_1=-2\), \(y_1 = 8\), \(x_2=7\), \(y_2=0\).

Step3: Calculate the x - coordinate of the midpoint

\(x=\frac{-2 + 7}{2}=\frac{5}{2}=2.5\).

Step4: Calculate the y - coordinate of the midpoint

\(y=\frac{8+0}{2}=4\).

Answer:

\((2.5,4)\)