Question

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

Explanation:

Step1: Identify y-coordinates of A and B

A=(3,1) so \(y_1=1\); B=(-1,-1) so \(y_2=-1\)

Step2: Calculate midpoint y-coordinate

Use formula \(y_M=\frac{y_1+y_2}{2}\). Substitute values: \(y_M=\frac{1+(-1)}{2}=\frac{0}{2}=0\)

Answer:

0