Question

t(-6, 6) and u(3, -6) are the endpoints of a line segment. what is the mid - point m of that line segment? 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, $x_1=-6,y_1 = 6,x_2=3,y_2=-6$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-6 + 3}{2}=\frac{-3}{2}=-1.5$

Step3: Calculate the y - coordinate of the mid - point

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

Answer:

$M=(-1.5,0)$