Question

find the midpoint, m, of \\( \overline{ab} \\).\\( a = (3, 7) \\) \\( b = (7, 11) \\)\\( m = \left( 5, \boxed{?} \
ight) \\)\\( m = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \
ight) \\)

Explanation:

Step1: Identify coordinates of A and B

A=(3,7), B=(7,11)

Step2: Calculate midpoint x-coordinate

$\frac{3+7}{2}=5$

Step3: Calculate midpoint y-coordinate

$\frac{7+11}{2}=9$

Answer:

(5,9)