Question

the formula for the mid - point between two points. points p and q on the coordinate grid below represent the locations of two observers for a science project. if the two observers both want to be the same distance from the science project, and as close as possible to it, what point best represents the location for them to put the science project? a. (6.5,6) b. (-1.5,2) c. (6,6.5) d. (2,-1.5)

Explanation:

Step1: Identify point coordinates

Let's assume point $P=(6,8)$ and point $Q=(7,4)$ from the grid.

Step2: Apply mid - point formula

The mid - point formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 6,y_1=8,x_2 = 7,y_2 = 4$. So, $x=\frac{6 + 7}{2}=6.5$ and $y=\frac{8+4}{2}=6$.

Answer:

A. $(6.5,6)$