Question

tu has endpoints at t(4, 6) and u(10, 8). 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, $x_1 = 4,y_1=6,x_2 = 10,y_2 = 8$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4 + 10}{2}=\frac{14}{2}=7$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{6+8}{2}=\frac{14}{2}=7$.

Answer:

$(7,7)$