Given:
Grocery store located at point (5,-4).
Park is located at point (-5,4).
Paula's house is halfway between the Grocery store and park.
School is halfway between the Paula's house and park.
To find:
Ordered pair for the school.
Solution:
Formula used:
[tex]\text{Midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Paula's house is halfway between the Grocery store and park. It means the location of Paula's house is the midpoint of (5,-4) and (-5,4).
[tex]\text{Paula's house}=\left(\dfrac{5+(-5)}{2},\dfrac{(-4)+4}{2}\right)[/tex]
[tex]\text{Paula's house}=\left(\dfrac{0}{2},\dfrac{0}{2}\right)[/tex]
[tex]\text{Paula's house}=\left(0,0\right)[/tex]
So, the Paula's house is located at (0,0).
School is halfway between the Paula's house and park. It means the location of the school is the midpoint of (0,0) and (-5,4).
[tex]\text{School}=\left(\dfrac{0+(-5)}{2},\dfrac{0+4}{2}\right)[/tex]
[tex]\text{School}=\left(\dfrac{-5}{2},\dfrac{4}{2}\right)[/tex]
[tex]\text{School}=\left(-2.5,2\right)[/tex]
Therefore, the correct option is B.
