Question

tu has endpoints at t(18, 16) and u(8, 11). find the mid - point 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, $x_1 = 18,y_1=16,x_2 = 8,y_2 = 11$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{18 + 8}{2}=\frac{26}{2}=13$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{16+11}{2}=\frac{27}{2}=13.5$.

Answer:

$(13,13.5)$