Question

question 5 of 10 what is the midpoint of the segment shown below? (1, 2) (1, - 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, the two points are $(1,2)$ and $(1, - 5)$, so $x_1=1,y_1 = 2,x_2=1,y_2=-5$.

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

$x=\frac{1 + 1}{2}=\frac{2}{2}=1$.

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

$y=\frac{2+( - 5)}{2}=\frac{2 - 5}{2}=\frac{-3}{2}$.

Answer:

C. $(1,-\frac{3}{2})$