Question

segment $overline{rt}$ has endpoints r(1, 1) and t(-7, -2). what are the coordinates of the midpoint of $overline{rt}$? a. (-4,-1.5) b. (-3,-0.5) c. (-0.5,-3) d. (-2.5,-0.5)

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, $x_1 = 1,y_1 = 1,x_2=-7,y_2=-2$.

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

$x=\frac{1+( - 7)}{2}=\frac{1 - 7}{2}=\frac{-6}{2}=-3$.

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

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

Answer:

B. (-3,-0.5)