What are the coordinates of the midpoint of AB¯¯¯¯¯ where A(−7, 2) and B(5, −9)?(−2.5, −1)

(−6, −5.5)

(−1, −3.5)

(1, −9)

Your answer would be C,(−1, −3.5).

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Answer:

$(-1,-3.5)$

Step-by-step explanation:

Let

M-------> the midpoint of AB

Step 1

Find the x-coordinate of the midpoint AB

$Mx=\frac{x1+x2}{2}$

we have

$A(-7,2), B(5,-9)$

substitute

$Mx=\frac{-7+5}{2}=-1$

Step 2

Find the y-coordinate of the midpoint AB

$My=\frac{y1+y2}{2}$

we have

$A(-7,2), B(5,-9)$

substitute

$My=\frac{2-9}{2}=-3.5$

therefore

the coordinates of the point M are $(-1,-3.5)$

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