Question

find the midpoint, m, of \\(\overline{ab}\\). \\(a = (2, 1)\\) \\(b = (-4, 7)\\) \\(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=(2,1), B=(-4,7)

Step2: Calculate x-coordinate of midpoint

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

Step3: Calculate y-coordinate of midpoint

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

Answer:

(-1, 4)