Question

a line segment has the endpoints v(89, 37) and w(40, 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 $x_1 = 89,y_1=37,x_2 = 40,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{89 + 40}{2}=\frac{129}{2}=64.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{37+10}{2}=\frac{47}{2}=23.5$.

Answer:

$(64.5,23.5)$