Question

question find the midpoint of the segment with the following endpoints. (8,10) and (4,6)

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 $x_1=8,y_1 = 10,x_2=4,y_2 = 6$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8 + 4}{2}=\frac{12}{2}=6$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{10+6}{2}=\frac{16}{2}=8$.

Answer:

$(6,8)$