Question

find the midpoint of the segment with the following endpoints.\\((-10, -4)\\) and \\((0, -10)\\)

Explanation:

Step1: Recall midpoint formula

The midpoint $M=(x_m,y_m)$ 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

Let $(x_1,y_1)=(-10,-4)$ and $(x_2,y_2)=(0,-10)$. Calculate $x_m$:
$$x_m=\frac{-10+0}{2}=\frac{-10}{2}=-5$$

Step3: Substitute y-values

Calculate $y_m$:
$$y_m=\frac{-4+(-10)}{2}=\frac{-14}{2}=-7$$

Answer:

$(-5, -7)$