Question

r(-13, 7) and s(-17, -12) 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 $x_1=-13,y_1 = 7,x_2=-17,y_2=-12$.

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

$x=\frac{-13+( - 17)}{2}=\frac{-13-17}{2}=\frac{-30}{2}=-15$.

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

$y=\frac{7+( - 12)}{2}=\frac{7 - 12}{2}=\frac{-5}{2}=-2.5$.

Answer:

$(-15,-2.5)$