Question

find the midpoint, m, of \\( \overline { a b } \\).
\\( a = ( 11, - 5 ) b = ( 1,7 ) \\)
\\( m = ( \square, ) \\)
\\( m = \left( \frac { x _ { 1 } + x _ { 2 } } { 2 } , \frac { y _ { 1 } + y _ { 2 } } { 2 } \
ight) \\)

Explanation:

Step1: Calculate the x - coordinate of the midpoint

Use the formula \(x=\frac{x_1 + x_2}{2}\), where \(x_1 = 11\) and \(x_2=1\).
\(x=\frac{11 + 1}{2}=\frac{12}{2}=6\)

Step2: Calculate the y - coordinate of the midpoint

Use the formula \(y=\frac{y_1 + y_2}{2}\), where \(y_1=-5\) and \(y_2 = 7\).
\(y=\frac{-5+7}{2}=\frac{2}{2}=1\)

Answer:

\((6,1)\)