Question

find the midpoint, m, of \\(\overline{ab}\\). \\(a = (-2, -10)\\) \\(b = (-6, 0)\\) \\(m = (-4, ?)\\) \\(m = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\\)

Explanation:

Step1: Identify y-coordinates

$y_1 = -10$, $y_2 = 0$

Step2: Apply midpoint y-formula

$\frac{y_1 + y_2}{2} = \frac{-10 + 0}{2}$

Step3: Calculate the result

$\frac{-10}{2} = -5$

Answer:

$M = (-4, -5)$