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question 10 of 10 what is the mid - point of the segment shown below? (…

Question

question 10 of 10 what is the mid - point of the segment shown below? (-8,-7) (-7,-8)

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 $x_1=-8,y_1 = - 7,x_2=-7,y_2=-8$.

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

$x=\frac{-8+( - 7)}{2}=\frac{-8 - 7}{2}=-\frac{15}{2}$.

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

$y=\frac{-7+( - 8)}{2}=\frac{-7 - 8}{2}=-\frac{15}{2}$.

Answer:

C. $(-\frac{15}{2},-\frac{15}{2})$