Question

what is the midpoint of the segment shown below? (-6, -9) (16, 5) a. (10, -2) b. (5, -4) c. (5, -2) d. (10, -4)

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, $x_1=-6,y_1 = - 9,x_2=16,y_2 = 5$.

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

$x=\frac{-6 + 16}{2}=\frac{10}{2}=5$.

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

$y=\frac{-9 + 5}{2}=\frac{-4}{2}=-2$.

Answer:

C. $(5,-2)$