Question

find the midpoint of the line segment with the given endpoints. (10,6) and (8,4)
the midpoint of the segment is . (type an ordered pair.)

Explanation:

Step1: Recall mid - point formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the mid - point $(x_m,y_m)$ is given by $x_m=\frac{x_1 + x_2}{2}$ and $y_m=\frac{y_1 + y_2}{2}$. Here, $x_1 = 10$, $y_1=6$, $x_2 = 8$, $y_2 = 4$.

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

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

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

$y_m=\frac{6+4}{2}=\frac{10}{2}=5$

Answer:

$(9,5)$