Question

find the midpoint, m, of $overline{ab}$. a = (-3, 4) b = (5, 8) m = (?, ) m = ($\frac{x_1 + x_2}{2}$, $\frac{y_1 + y_2}{2}$)

Explanation:

Step1: Calculate x - coordinate of mid - point

The formula for the x - coordinate of the mid - point of two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{x_1 + x_2}{2}$. Here, $x_1=-3$ and $x_2 = 5$. So, $\frac{-3 + 5}{2}=\frac{2}{2}=1$.

Step2: Calculate y - coordinate of mid - point

The formula for the y - coordinate of the mid - point of two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_1 + y_2}{2}$. Here, $y_1 = 4$ and $y_2=8$. So, $\frac{4 + 8}{2}=\frac{12}{2}=6$.

Answer:

$(1,6)$