Question

j(0, 2) and k(12, -16) are the endpoints of a line segment. what is the midpoint m of that line segment? 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, $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(12,-16)$.

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

$x=\frac{0 + 12}{2}=\frac{12}{2}=6$.

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

$y=\frac{2+( - 16)}{2}=\frac{2 - 16}{2}=\frac{-14}{2}=-7$.

Answer:

$(6,-7)$