Question

what are the coordinates of the midpoint of $overline{rt}$?
a. (-1,0)
b. (-1,3)
c. (0, -1)
d. (2,0)
e. (2,3)

Explanation:

Step1: Identify coordinates of R and T

From the graph, R(-4, 3) and T(2, -3).

Step2: Apply 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 $x_1=-4,y_1 = 3,x_2=2,y_2=-3$.
$x=\frac{-4 + 2}{2}=\frac{-2}{2}=-1$
$y=\frac{3+( - 3)}{2}=\frac{3 - 3}{2}=0$

Answer:

A. (-1,0)