Question

select the correct answer. the endpoints of $overline{gh}$ are $g(-7,3)$ and $h(1,-2)$. what is the mid - point of $overline{gh}$?
a. $(-3,\frac{1}{2})$
b. $(4,\frac{1}{2})$
c. $(9,-7)$
d. $(-6,-1)$

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 $x_1=-7,y_1 = 3,x_2 = 1,y_2=-2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-7 + 1}{2}=\frac{-6}{2}=-3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{3+( - 2)}{2}=\frac{3 - 2}{2}=\frac{1}{2}$.

Answer:

A. $(-3,\frac{1}{2})$