Question

find the midpoint, m, of \\( \overline { a b } \\).
\\( a = ( 1,0 ) b = ( 5,2 ) \\)
\\( m = ( \square, \square ) \\)
\\( 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 \(x=\frac{x_1 + x_2}{2}\). Here \(x_1 = 1\) and \(x_2=5\).
\(x=\frac{1 + 5}{2}=\frac{6}{2}=3\)

Step2: Calculate the y - coordinate of the midpoint

Use the formula \(y=\frac{y_1 + y_2}{2}\). Here \(y_1 = 0\) and \(y_2 = 2\).
\(y=\frac{0+2}{2}=\frac{2}{2}=1\)

Answer:

\((3,1)\)