Question

find the midpoint, m, of $overline{ab}$. a = (2, 1) b = (-4, 7) m = ($\frac{x_1 + x_2}{2}$, $\frac{y_1 + y_2}{2}$) m = (?, )

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(2,1)$ and $(x_2,y_2)=(-4,7)$.

Step2: Calculate x - coordinate of mid - point

Use the formula $x=\frac{x_1 + x_2}{2}$. Substitute $x_1 = 2$ and $x_2=-4$: $x=\frac{2+( - 4)}{2}=\frac{2 - 4}{2}=\frac{-2}{2}=-1$.

Step3: Calculate y - coordinate of mid - point

Use the formula $y=\frac{y_1 + y_2}{2}$. Substitute $y_1 = 1$ and $y_2 = 7$: $y=\frac{1 + 7}{2}=\frac{8}{2}=4$.

Answer:

$(-1,4)$