Question

find the midpoint, m, of \\( \overline { a b } \\).
\\( a = ( 3,7 ) b = ( 7,11 ) \\)
\\( m = ( ? , \square ) \\)
\\( m = ( \frac { x _ { 1 } + x _ { 2 } } { 2 } , \frac { y _ { 1 } + y _ { 2 } } { 2 } ) \\)

Explanation:

Step1: Identify coordinates

$x_1 = 3$, $y_1 = 7$, $x_2 = 7$, $y_2 = 11$

Step2: Calculate x - coordinate of mid - point

$$\frac{x_1 + x_2}{2}=\frac{3 + 7}{2}=\frac{10}{2}=5$$

Step3: Calculate y - coordinate of mid - point

$$\frac{y_1 + y_2}{2}=\frac{7+11}{2}=\frac{18}{2}=9$$

Answer:

$(5,9)$