Question

find the mid - point of the line segment with the given endpoints. (6,4) and (2,10)
the mid - point of the 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 $x_1=6,y_1 = 4,x_2=2,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(4,7)$