Question

find the midpoint, m, of $overline{ab}$. a = (3, 1) b = (-1, -1) m = ($\frac{x_1 + x_2}{2}$, $\frac{y_1 + y_2}{2}$) m = ( ?, )

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(3,1)$ and $(x_2,y_2)=(-1,-1)$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{x_1 + x_2}{2}=\frac{3+( - 1)}{2}=\frac{3 - 1}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{y_1 + y_2}{2}=\frac{1+( - 1)}{2}=\frac{1 - 1}{2}=0$.
So the mid - point $M=(1,0)$.

Answer:

$(1,0)$