Question

find the midpoint m of the line segment joining the points $s = (-7, -2)$ and $t = (-1, 8)$. $m = (\square,\square)$

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: Identify given points

Let $S=(-7,-2)=(x_1,y_1)$ and $T=(-1,8)=(x_2,y_2)$

Step3: Calculate x-coordinate of M

$$x_m=\frac{-7+(-1)}{2}=\frac{-8}{2}=-4$$

Step4: Calculate y-coordinate of M

$$y_m=\frac{-2+8}{2}=\frac{6}{2}=3$$

Answer:

$M=(-4, 3)$