Question

st has endpoints at s(0, 4) and t(8, 10). find the midpoint m of st. 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, $x_1 = 0,y_1 = 4,x_2 = 8,y_2 = 10$.

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

$x=\frac{0 + 8}{2}=\frac{8}{2}=4$.

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

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

Answer:

$(4,7)$