Question

what is the midpoint of the segment shown below? (-11, 0) (9, -1) a. (-2, -\frac{1}{2}) b. (-2, -1) c. (-1, -1) d. (-1, -\frac{1}{2})

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the coordinates

Here, $(x_1,y_1)=(-11,0)$ and $(x_2,y_2)=(9,-1)$.

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

$x=\frac{-11 + 9}{2}=\frac{-2}{2}=-1$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{0+( - 1)}{2}=-\frac{1}{2}$.

Answer:

D. $(-1,-\frac{1}{2})$