Question

find the midpoint of the segment with the following endpoints. (10, 4) and (4, 10)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=10,y_1 = 4,x_2=4,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(7,7)$