Question

find the midpoint of the segment with the following endpoints.
(5,2) and (1,8)
answer
attempt 1 out of 2

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 $x_1 = 5,y_1=2,x_2 = 1,y_2 = 8$.

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

$\frac{x_1+x_2}{2}=\frac{5 + 1}{2}=\frac{6}{2}=3$

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

$\frac{y_1+y_2}{2}=\frac{2+8}{2}=\frac{10}{2}=5$

Answer:

$(3,5)$