Question

question 9 of 10 what is the mid - point of the segment shown below? (5, 4) (5, - 3) a. (10, 1) b. (10, $\frac{1}{2}$) c. (5, $\frac{1}{2}$) d. (5, 1)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the points

The two points are $(x_1,y_1)=(5,4)$ and $(x_2,y_2)=(5, - 3)$.

Step3: Calculate x - coordinate of mid - point

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

Step4: Calculate y - coordinate of mid - point

$y=\frac{4+( - 3)}{2}=\frac{4 - 3}{2}=\frac{1}{2}=1$.
So the mid - point is $(5,1)$.

Answer:

D. (5, 1)