Question

question 17 of 25 what is the midpoint of the segment below? (5,6) (-4,-7) a. (0,0) b. (0.5,-0.5) c. (-1,1) d. (0.5,0.5)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the points

Here, $(x_1,y_1)=(-4,-7)$ and $(x_2,y_2)=(5,6)$.

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

$x_m=\frac{-4 + 5}{2}=\frac{1}{2}=0.5$.

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

$y_m=\frac{-7 + 6}{2}=\frac{-1}{2}=-0.5$.
So the mid - point is $(0.5, - 0.5)$.

Answer:

D. (0.5, 0.5)