Question

2 point s is the midpoint of $overline{rt}$. the coordinates of point r and point t are listed below. • $r(-11, -12)$ • $t(-7, -4)$ what are the coordinates of point s? ** midpoint formula = $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$ a $(-9, -8)$ b $(-18, -16)$ c $(-2, -4)$ d $(-8, -10)$

Explanation:

Step1: Identify x - coordinates

Let $(x_1,y_1)=(-11,-12)$ and $(x_2,y_2)=(-7,-4)$. The x - coordinate of the mid - point is calculated using $\frac{x_1 + x_2}{2}$. So, $\frac{-11+( - 7)}{2}=\frac{-11 - 7}{2}=\frac{-18}{2}=-9$.

Step2: Identify y - coordinates

The y - coordinate of the mid - point is calculated using $\frac{y_1 + y_2}{2}$. So, $\frac{-12+( - 4)}{2}=\frac{-12 - 4}{2}=\frac{-16}{2}=-8$.

Answer:

A. $(-9,-8)$