Question

find the midpoint of the line segment with the endpoints a and b. a(2,8); b(4,10) the midpoint of the line segment is . (type an ordered pair)

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 $x_1 = 2,y_1=8,x_2 = 4,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{2 + 4}{2}=\frac{6}{2}=3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{8 + 10}{2}=\frac{18}{2}=9$.

Answer:

$(3,9)$