Question

question
find the midpoint of the segment with the following endpoints.
(10, 4) and (4, 10)
answer
attempt 1 out of 10

Explanation:

Step1: Recall midpoint formula

The midpoint $M=(x_m,y_m)$ of endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is given by:
$$x_m=\frac{x_1+x_2}{2}, \quad y_m=\frac{y_1+y_2}{2}$$

Step2: Substitute x-values

$x_1=10$, $x_2=4$
$x_m=\frac{10+4}{2}=\frac{14}{2}=7$

Step3: Substitute y-values

$y_1=4$, $y_2=10$
$y_m=\frac{4+10}{2}=\frac{14}{2}=7$

Answer:

$(7, 7)$