Question

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

Explanation:

Step1: Identify coordinates

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

Step2: Calculate x - coordinate of mid - point

$x=\frac{x_1 + x_2}{2}=\frac{-5 + 5}{2}=\frac{0}{2}=0$

Step3: Calculate y - coordinate of mid - point

$y=\frac{y_1 + y_2}{2}=\frac{5+( - 5)}{2}=\frac{0}{2}=0$

Answer:

$(0,0)$