Question

find the midpoint, m, of $overline{ab}$. a = (2, 5) b = (-6, -3) m = ($\frac{x_1 + x_2}{2}$, $\frac{y_1 + y_2}{2}$) m = (?, )

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(2,5)$ and $(x_2,y_2)=(-6,-3)$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

$y=\frac{y_1 + y_2}{2}=\frac{5+( - 3)}{2}=\frac{5 - 3}{2}=\frac{2}{2}=1$

Answer:

$(-2,1)$