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

Use the formula $x=\frac{x_1 + x_2}{2}$. Substitute $x_1=-5$ and $x_2 = 5$: $x=\frac{-5 + 5}{2}=\frac{0}{2}=0$.

Step3: Calculate y - coordinate of mid - point

Use the formula $y=\frac{y_1 + y_2}{2}$. Substitute $y_1 = 5$ and $y_2=-5$: $y=\frac{5+( - 5)}{2}=\frac{5 - 5}{2}=0$.

Answer:

$(0,0)$