Question

find the midpoint, m, of $overline{ab}$. a = (3, 7) b = (7, 11) 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 $x_2=7$, so $\frac{3 + 7}{2}=\frac{10}{2}=5$.

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 $y_1 = 7$ and $y_2 = 11$, so $\frac{7+11}{2}=\frac{18}{2}=9$.

Answer:

$(5,9)$