Question

a line segment has the endpoints c(2, 6) and d(6, 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, $x_1 = 2,y_1=6,x_2 = 6,y_2 = 0$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{2 + 6}{2}=\frac{8}{2}=4$.

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(4,3)$