Question

what is the midpoint of $overline{mn}$ with endpoints $m(9, - 2)$ and $n(-2,-6)$?
a. (-5.5,-2)
b. (3.5,-4)
c. (-4,3.5)
d. (-4,3.5)

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, $x_1=9,y_1 = - 2,x_2=-2,y_2=-6$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{9+( - 2)}{2}=\frac{9 - 2}{2}=\frac{7}{2}=3.5$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{-2+( - 6)}{2}=\frac{-2-6}{2}=\frac{-8}{2}=-4$.

Answer:

B. $(3.5,-4)$