Question

a line segment has the endpoints s(-12, 18) and t(-20, -10). find the coordinates of its midpoint m. 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 $x_1=-12,y_1 = 18,x_2=-20,y_2=-10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-12+( - 20)}{2}=\frac{-12 - 20}{2}=\frac{-32}{2}=-16$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{18+( - 10)}{2}=\frac{18 - 10}{2}=\frac{8}{2}=4$.

Answer:

$M=(-16,4)$