Question

find the midpoint, m, of \\(\overline{ab}\\). \\(a = (-5, 1)\\) \\(b = (1, -3)\\) \\(m = (?, \quad)\\) \\(m = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\
ight)\\)

Explanation:

Step1: Identify coordinates

$A=(x_1,y_1)=(-5,1)$, $B=(x_2,y_2)=(1,-3)$

Step2: Calculate x-coordinate of M

$\frac{x_1+x_2}{2}=\frac{-5+1}{2}=\frac{-4}{2}=-2$

Step3: Calculate y-coordinate of M

$\frac{y_1+y_2}{2}=\frac{1+(-3)}{2}=\frac{-2}{2}=-1$

Answer:

$(-2, -1)$