Question

question 3 of 10 what is the midpoint of the segment shown below? (1, -1) (4, -6) a. (5/2, -7) b. (5, -7/2) c. (5, -7) d. (5/2, -7/2)

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, $(x_1,y_1)=(1,-1)$ and $(x_2,y_2)=(4,-6)$.

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

$x=\frac{1 + 4}{2}=\frac{5}{2}$.

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

$y=\frac{-1+( - 6)}{2}=\frac{-1 - 6}{2}=-\frac{7}{2}$.
So the mid - point is $(\frac{5}{2},-\frac{7}{2})$.

Answer:

D. $(\frac{5}{2},-\frac{7}{2})$