Question

what are the coordinates of the midpoint of the line segment with endpoints (2,5) and (4,-7)?
(3,-1)
(-2,-2)
(-1,-6)
(6,-2)

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

$x_1=2$, $x_2=4$
$x_m = \frac{2+4}{2} = \frac{6}{2} = 3$

Step3: Substitute y-values

$y_1=5$, $y_2=-7$
$y_m = \frac{5+(-7)}{2} = \frac{-2}{2} = -1$

Answer:

A. (3,-1)