Question

r(4, -8) and s(-2, 0) 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, $x_1 = 4,y_1=-8,x_2=-2,y_2 = 0$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4+( - 2)}{2}=\frac{4 - 2}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-8 + 0}{2}=\frac{-8}{2}=-4$.

Answer:

$(1,-4)$