Question

a line segment has the endpoints t(10, -14) and u(-9, -9). 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, $x_1 = 10,y_1=-14,x_2=-9,y_2 = - 9$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{10+( - 9)}{2}=\frac{10 - 9}{2}=\frac{1}{2}=0.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-14+( - 9)}{2}=\frac{-14 - 9}{2}=\frac{-23}{2}=-11.5$.

Answer:

$(0.5,-11.5)$