Q:

What are the coordinates of the midpoint of EF if point E is located at (–12, 5) and point F is located at (7, –9)?(-5/2,7)(5/2,7)(-5/2,-2)(5/2,-2)

Accepted Solution

A:
[tex]\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ E(-12,\ 5)\ \text{and}\ F(7,\ -9).\ \text{Substitute:}\\\\x=\dfrac{-12+7}{2}=-\dfrac{5}{2}\\\\y=\dfrac{5+(-9)}{2}=\dfrac{-4}{2}=-2\\\\Answer:\ \boxed{\left(-\dfrac{5}{2};\ -2\right)}[/tex]