Question

find the midpoint of the line segment joining the points ( p_1 ) and ( p_2 ).
( p_1=(2,-5);p_2=(6,7) )
the midpoint of the line segment joining the points ( p_1 ) and ( p_2 ) is
(simplify your answer. type an ordered pair.)

Explanation:

Step1: Find the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x=\frac{x_1 + x_2}{2}\). Given \(x_1 = 2\) and \(x_2=8\), then \(M_x=\frac{2 + 8}{2}=\frac{10}{2}=5\).

Step2: Find the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\). Given \(y_1=-5\) and \(y_2 = 7\), then \(M_y=\frac{-5+7}{2}=\frac{2}{2}=1\).

Answer:

\((5,1)\)