Question

r(-4, 6) and s(-8, -6) 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, $x_1=-4,y_1 = 6,x_2=-8,y_2=-6$.

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

$x=\frac{-4+( - 8)}{2}=\frac{-4 - 8}{2}=\frac{-12}{2}=-6$.

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

$y=\frac{6+( - 6)}{2}=\frac{6 - 6}{2}=0$.

Answer:

$(-6,0)$