Question

c(8, 15) and d(-19, 18) 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, $x_1 = 8,y_1=15,x_2=-19,y_2 = 18$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8+( - 19)}{2}=\frac{8 - 19}{2}=\frac{-11}{2}=-5.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{15 + 18}{2}=\frac{33}{2}=16.5$.

Answer:

$(-5.5,16.5)$