Question

gh has endpoints at g(0, -4) and h(10, -10). 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, $x_1 = 0,y_1=-4,x_2 = 10,y_2=-10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{0 + 10}{2}=\frac{10}{2}=5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-4+( - 10)}{2}=\frac{-4-10}{2}=\frac{-14}{2}=-7$.

Answer:

$(5,-7)$