Question

what is the midpoint of the segment that joins the points (-6, -5) and (-12, -20)?

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 $x_1=-6,y_1 = - 5,x_2=-12,y_2=-20$.

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

$x=\frac{-6+( - 12)}{2}=\frac{-6 - 12}{2}=\frac{-18}{2}=-9$.

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

$y=\frac{-5+( - 20)}{2}=\frac{-5 - 20}{2}=\frac{-25}{2}=-12.5$.

Answer:

$(-9,-12.5)$