Question

what is the midpoint of the segment that joins the points (-18, 18) and (-14, 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 $x_1=-18,y_1 = 18,x_2=-14,y_2 = 15$.

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

$x=\frac{-18+( - 14)}{2}=\frac{-18 - 14}{2}=\frac{-32}{2}=-16$.

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

$y=\frac{18 + 15}{2}=\frac{33}{2}=16.5$.

Answer:

$(-16,16.5)$