Question

find the midpoint, m, of \\( \overline { a b } \\).
\\( a = ( - 7,9 ) \\) \\( b = ( - 5,3 ) \\)
\\( 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 for the x - coordinate of the midpoint $x=\frac{x_1 + x_2}{2}$. Here $x_1=-7$ and $x_2=-5$.
$x=\frac{-7+( - 5)}{2}=\frac{-7 - 5}{2}=\frac{-12}{2}=-6$

Step2: Calculate the y - coordinate of the midpoint

Use the formula for the y - coordinate of the midpoint $y=\frac{y_1 + y_2}{2}$. Here $y_1 = 9$ and $y_2=3$.
$y=\frac{9 + 3}{2}=\frac{12}{2}=6$

Answer:

$(-6,6)$