Question

find the midpoint, m, of \\( \overline { a b } \\).
\\( a = ( - 3,4 ) b = ( 5,8 ) \\)
\\( m = ( \frac { x _ { 1 } + x _ { 2 } } { 2 } , \frac { y _ { 1 } + y _ { 2 } } { 2 } ) \\)

Explanation:

Step1: Calculate the x - coordinate of the midpoint

Use the formula \(x=\frac{x_1 + x_2}{2}\), where \(x_1=-3\) and \(x_2 = 5\).
\(x=\frac{-3 + 5}{2}=\frac{2}{2}=1\)

Step2: Calculate the y - coordinate of the midpoint

Use the formula \(y=\frac{y_1 + y_2}{2}\), where \(y_1 = 4\) and \(y_2=8\).
\(y=\frac{4 + 8}{2}=\frac{12}{2}=6\)

Answer:

\((1,6)\)