Question

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

Explanation:

Step1: Identify coordinates

Let \( A=(x_1,y_1)=(3,1) \), \( B=(x_2,y_2)=(-1,-1) \)

Step2: Calculate x-coordinate of midpoint

\( x_M = \frac{x_1+x_2}{2} = \frac{3+(-1)}{2} = \frac{2}{2}=1 \)

Step3: Calculate y-coordinate of midpoint

\( y_M = \frac{y_1+y_2}{2} = \frac{1+(-1)}{2} = \frac{0}{2}=0 \)

Answer:

(1, 0)