Question

find the midpoint, m, of \\(\overline{ab}\\). \\(a = (-7, 9)\\) \\(b = (-5, 3)\\) \\(m = (?, ?)\\) \\(m = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \
ight)\\)

Explanation:

Step1: Identify coordinates of A and B

$A(x_1,y_1)=(-7,9)$, $B(x_2,y_2)=(-5,3)$

Step2: Calculate x-coordinate of M

$\frac{x_1+x_2}{2}=\frac{-7+(-5)}{2}=\frac{-12}{2}=-6$

Step3: Calculate y-coordinate of M

$\frac{y_1+y_2}{2}=\frac{9+3}{2}=\frac{12}{2}=6$

Answer:

$(-6, 6)$