Question

segment $overline{rt}$ has endpoints r(-3, 4) and t(-7, -3). what are the coordinates of the midpoint of $overline{rt}$?
a. (0.5,-5)
b. (-5, 0.5)
c. (-4.5,0.5)
d. (-2,-3.5)

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, $x_1=-3,y_1 = 4,x_2=-7,y_2=-3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-3+( - 7)}{2}=\frac{-3 - 7}{2}=\frac{-10}{2}=-5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{4+( - 3)}{2}=\frac{4 - 3}{2}=\frac{1}{2}=0.5$.

Answer:

B. (-5, 0.5)