Question

a line segment has the endpoints j(20, -6) and k(-10, 0). 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, $x_1 = 20$, $y_1=-6$, $x_2=-10$, $y_2 = 0$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{20+( - 10)}{2}=\frac{20 - 10}{2}=\frac{10}{2}=5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-6 + 0}{2}=\frac{-6}{2}=-3$.

Answer:

$(5,-3)$