Question

a line segment has the endpoints t(6, -8) and u(-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 $x_1 = 6,y_1=-8,x_2=-6,y_2 = 0$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{6+( - 6)}{2}=\frac{6 - 6}{2}=0$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-8 + 0}{2}=\frac{-8}{2}=-4$.

Answer:

$(0,-4)$