Question

gh has endpoints at g(10, -1) and h(1, -20). 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, $x_1 = 10,y_1=-1,x_2 = 1,y_2=-20$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{10 + 1}{2}=\frac{11}{2}=5.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-1+( - 20)}{2}=\frac{-1 - 20}{2}=\frac{-21}{2}=-10.5$.

Answer:

$(5.5,-10.5)$