Question

what is the midpoint of the segment that joins the points (8, 0) and (-18, 0)?

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1 = 8$, $y_1=0$, $x_2=-18$, $y_2 = 0$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{8+( - 18)}{2}=\frac{8 - 18}{2}=\frac{-10}{2}=-5$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{0 + 0}{2}=0$.

Answer:

$(-5,0)$