Question

question
find the midpoint of the segment with the following endpoints.
(8,9) and (2,1)

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 $x_1 = 8,y_1 = 9,x_2 = 2,y_2 = 1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8 + 2}{2}=\frac{10}{2}=5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{9+1}{2}=\frac{10}{2}=5$.

Answer:

$(5,5)$