Question

find the midpoint, m, of $overline{ab}$. a = (-7, 9) b = (-5, 3) m = (?, ) m = ($\frac{x_1 + x_2}{2}$, $\frac{y_1 + y_2}{2}$)

Explanation:

Step1: Calculate x - coordinate of mid - point

Use the formula $x=\frac{x_1 + x_2}{2}$, where $x_1=-7$ and $x_2 = - 5$. So $x=\frac{-7+( - 5)}{2}=\frac{-7 - 5}{2}=\frac{-12}{2}=-6$.

Step2: Calculate y - coordinate of mid - point

Use the formula $y=\frac{y_1 + y_2}{2}$, where $y_1 = 9$ and $y_2=3$. So $y=\frac{9 + 3}{2}=\frac{12}{2}=6$.

Answer:

$(-6,6)$