Question

find the midpoint, m, of \\(\overline{ab}\\). \\(a = (10, 1)\\) \\(b = (-6, 3)\\) \\(m = (?, \square)\\) \\(m = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\
ight)\\)

Explanation:

Step1: Identify coordinates

$A=(x_1,y_1)=(10,1)$, $B=(x_2,y_2)=(-6,3)$

Step2: Calculate x-coordinate of midpoint

$\frac{x_1+x_2}{2}=\frac{10+(-6)}{2}=\frac{4}{2}=2$

Step3: Calculate y-coordinate of midpoint

$\frac{y_1+y_2}{2}=\frac{1+3}{2}=\frac{4}{2}=2$

Answer:

$M=(2, 2)$