Question

point g is the midpoint of $overline{ef}$, where e is located at (-19, -7) and f is located at (13, 1). what is the product of the coordinates of g? write your answer as an integer or decimal.

Explanation:

Step1: Find the x - coordinate of the mid - point

The formula for the x - coordinate of the mid - point of two points $(x_1,y_1)$ and $(x_2,y_2)$ is $x=\frac{x_1 + x_2}{2}$. Here, $x_1=-19$ and $x_2 = 13$. So, $x_G=\frac{-19 + 13}{2}=\frac{-6}{2}=-3$.

Step2: Find the y - coordinate of the mid - point

The formula for the y - coordinate of the mid - point of two points $(x_1,y_1)$ and $(x_2,y_2)$ is $y=\frac{y_1 + y_2}{2}$. Here, $y_1=-7$ and $y_2 = 1$. So, $y_G=\frac{-7 + 1}{2}=\frac{-6}{2}=-3$.

Step3: Calculate the product of the coordinates of G

The product of the coordinates of $G$ is $x_G\times y_G=(-3)\times(-3)=9$.

Answer:

9