Question

find the midpoint of the line segment whose endpoints are given.
(1.1,9.5), (5.7, - 7.4)
the midpoint is
(type an ordered pair using integers or decimals.)

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x=\frac{x_1 + x_2}{2}\), where \(x_1 = 1.1\) and \(x_2=5.7\).
\(M_x=\frac{1.1 + 5.7}{2}=\frac{6.8}{2}=3.4\)

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\), where \(y_1 = 9.5\) and \(y_2=-7.4\).
\(M_y=\frac{9.5+( - 7.4)}{2}=\frac{9.5 - 7.4}{2}=\frac{2.1}{2}=1.05\)

Answer:

\((3.4,1.05)\)