Question

she wants to put a birdbath exactly halfway between the two oak trees. what are the coordinates of the place where the birdbath should be located? (4,5) (6,4) (6,3) (5,4)

Explanation:

Step1: Identify coordinates of oak trees

Let the coordinates of the first oak tree be $(x_1,y_1)=(4,6)$ and the second oak tree be $(x_2,y_2)=(8,4)$.

Step2: Use mid - point formula

The mid - point formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.
For $x$ - coordinate: $\frac{4+8}{2}=\frac{12}{2}=6$.
For $y$ - coordinate: $\frac{6 + 4}{2}=\frac{10}{2}=5$.

Answer:

$(6,5)$