Question

tu has endpoints at t(10, -1) and u(-6, -13). find the midpoint m of tu. 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, $x_1 = 10,y_1=-1,x_2=-6,y_2=-13$.

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

$x=\frac{10+( - 6)}{2}=\frac{10 - 6}{2}=\frac{4}{2}=2$.

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

$y=\frac{-1+( - 13)}{2}=\frac{-1-13}{2}=\frac{-14}{2}=-7$.

Answer:

$(2,-7)$