Question

what is the midpoint of the segment that joins the points (2,2) and (-18,-15)?

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 $x_1 = 2,y_1 = 2,x_2=-18,y_2=-15$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{2+( - 18)}{2}=\frac{2 - 18}{2}=\frac{-16}{2}=-8$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{2+( - 15)}{2}=\frac{2 - 15}{2}=\frac{-13}{2}=-6.5$.

Answer:

$(-8,-6.5)$