Question

find the midpoint m of the line segment joining the points a = (8, -8) and b = (-2, 4). m = (□,□)

Explanation:

Step1: Recall midpoint formula

The midpoint $M=(x,y)$ of two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:
$$x=\frac{x_1+x_2}{2}, \quad y=\frac{y_1+y_2}{2}$$

Step2: Calculate x-coordinate of M

Substitute $x_1=8, x_2=-2$
$$x=\frac{8+(-2)}{2}=\frac{6}{2}=3$$

Step3: Calculate y-coordinate of M

Substitute $y_1=-8, y_2=4$
$$y=\frac{-8+4}{2}=\frac{-4}{2}=-2$$

Answer:

$M=(3, -2)$