Question

find the midpoint, m, of \\(\overline{ab}\\).\\(a = (2, 1)\\) \\(b = (-4, 7)\\)\\(m = (?, \square)\\)\\(m = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\
ight)\\)

Explanation:

Step1: Identify coordinates of A and B

$A=(x_1,y_1)=(2,1)$, $B=(x_2,y_2)=(-4,7)$

Step2: Calculate x-coordinate of M

$x_M=\frac{x_1+x_2}{2}=\frac{2+(-4)}{2}=\frac{-2}{2}=-1$

Step3: Calculate y-coordinate of M

$y_M=\frac{y_1+y_2}{2}=\frac{1+7}{2}=\frac{8}{2}=4$

Answer:

$(-1, 4)$