Question

question 10 of 10 what is the midpoint of the segment shown below? (-1,2) (7,3) a. (6,3) b. (3,3) c. (6, 5/2) d. (3, 5/2)

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 points

Here, $x_1=-1,y_1 = 2,x_2=7,y_2 = 3$.

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

$\frac{x_1+x_2}{2}=\frac{-1 + 7}{2}=\frac{6}{2}=3$.

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

$\frac{y_1+y_2}{2}=\frac{2 + 3}{2}=\frac{5}{2}$.
So the mid - point is $(3,\frac{5}{2})$.

Answer:

D. $(3,\frac{5}{2})$