danaee8sam4niko
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the coordinates for the endpoints of a line segment are (-5,13) and (-9,21). find the coordinates for the midpoint of the line segment. a. (-7, 17) b. (-4, 4) c. (-2, 4) d. (4, 17)

Verified Answer :

dalendrk

The midpoint of AB where \(A(x_A;\ y_A)\) and \(B(x_B;\ y_B)\)

\(\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)\)

\(A(-5;\ 13);\ B(-9;\ 21)\)

The midpoint of AB: \(\left(\dfrac{-5+(-9)}{2};\ \dfrac{13+21}{2}\right)=\left(\dfrac{-14}{2};\ \dfrac{34}{2}\right)=(-7;\ 17)\)

Answer: A. (-7, 17)

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