Question

find the midpoint of the line segment joining the points ( p_1 ) and ( p_2 ).

( p_1 = (4, -3) ); ( p_2 = (8, 7) )

the midpoint of the line segment joining the points ( p_1 ) and ( p_2 ) is (square).
(simplify your answer. type an ordered pair.)

Explanation:

Step1: Recall midpoint formula

The midpoint $M=(x_m,y_m)$ of two points $(x_1,y_1)$ 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

$x_1=4$, $x_2=8$
$x_m=\frac{4+8}{2}=\frac{12}{2}=6$

Step3: Substitute y-values

$y_1=-3$, $y_2=7$
$y_m=\frac{-3+7}{2}=\frac{4}{2}=2$

Answer:

$(6, 2)$