Question

what is the midpoint of the segment that joins the points (19, 9) and (-14, -14)?

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Given $(x_1,y_1)=(19,9)$ and $(x_2,y_2)=(-14,-14)$.

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

$x=\frac{19+( - 14)}{2}=\frac{19 - 14}{2}=\frac{5}{2}=2.5$

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

$y=\frac{9+( - 14)}{2}=\frac{9 - 14}{2}=\frac{-5}{2}=-2.5$

Answer:

$(2.5,-2.5)$