Question

gh has endpoints at g(8, 9) and h(10, 9). find the midpoint 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 $x_1 = 8$, $x_2=10$, $y_1 = 9$, $y_2 = 9$.

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

$x=\frac{8 + 10}{2}=\frac{18}{2}=9$.

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

$y=\frac{9+9}{2}=\frac{18}{2}=9$.

Answer:

$(9,9)$