Question

question 4
what is the midpoint of the segment with endpoints (2, 6) and (8, 4)?
○ (10, 10)
○ (5, 5)
○ (5, 4)
○ (3, 5)

Explanation:

Step1: Recall midpoint formula

The midpoint $(x_m, y_m)$ of a segment with 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

$x_1=2$, $x_2=8$. Calculate $x_m$:
$x_m = \frac{2 + 8}{2} = \frac{10}{2} = 5$

Step3: Substitute y-values

$y_1=6$, $y_2=4$. Calculate $y_m$:
$y_m = \frac{6 + 4}{2} = \frac{10}{2} = 5$

Answer:

B. (5, 5)