Question

gh has endpoints at g(-5, 8) and h(5, -8). find the mid - point m of gh. write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1=-5,y_1 = 8,x_2 = 5,y_2=-8$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-5 + 5}{2}=\frac{0}{2}=0$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{8+( - 8)}{2}=\frac{8 - 8}{2}=0$.

Answer:

$(0,0)$