Question

place the coordinates that best complete the sentence. mike and brad are trying to determine a good meeting point between their two homes. they want to meet at a location halfway between their homes. the coordinates of a good meeting place are ____. mikes home is at the coordinates (4,10) and brads home is at the coordinates (- 5,12).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for 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, $x_1 = 4,y_1 = 10,x_2=- 8,y_2 = 12$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4+( - 8)}{2}=\frac{4 - 8}{2}=\frac{-4}{2}=-2$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{10 + 12}{2}=\frac{22}{2}=11$.

Answer:

$(-2,11)$