Question

find the midpoint, m, of $overline{ab}$. a = (11, -5) b = (1, 7) m = ( ?, ) m = ($\frac{x_1 + x_2}{2}$, $\frac{y_1 + y_2}{2}$)

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(11, - 5)$ and $(x_2,y_2)=(1,7)$.

Step2: Calculate x - coordinate of mid - point

Use the formula $x=\frac{x_1 + x_2}{2}$. Substitute $x_1 = 11$ and $x_2 = 1$: $x=\frac{11 + 1}{2}=\frac{12}{2}=6$.

Step3: Calculate y - coordinate of mid - point

Use the formula $y=\frac{y_1 + y_2}{2}$. Substitute $y_1=-5$ and $y_2 = 7$: $y=\frac{-5 + 7}{2}=\frac{2}{2}=1$.

Answer:

$(6,1)$