Answer:
[tex]C(4,6)[/tex]
Step-by-step explanation:
we know that
If Phillip and Bruce are traveling at the same speed and Phillip departed from town A towards town B, at the same time Bruce headed from town B to town A, then they will meet at midpoint C of segment AB.
Because the distance AC must be equal to the distance BC
The formula to calculate the midpoint between two points is equal to
[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
we have
A(1,6) and B(7,6)
substitute
[tex]C(\frac{1+7}{2},\frac{6+6}{2})[/tex]
[tex]C(\frac{8}{2},\frac{12}{2})[/tex]
[tex]C(4,6)[/tex]
