Question

t(11, 9) and u(11, 15) are the endpoints of a line segment. what is the midpoint 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, $x_1 = 11,y_1=9,x_2 = 11,y_2 = 15$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{11 + 11}{2}=\frac{22}{2}=11$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{9+15}{2}=\frac{24}{2}=12$.

Answer:

$(11,12)$