Holstein453
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The Coordinates of the endpoints of a line segments are (3,1) and (-5, 9). Find the coordinates of the midpoint of the line segment
a. 4,5
b. -1,5
c. -2, 4
d. -2, 8

Respuesta :

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The coordinates of the midpoint are the arithmetic means of the respective coordinates of the endpoints.

 [tex](3,1) \\ x_1=3 \\ y_1=1 \\ \\ (-5,9) \\ x_2=-5 \\ y_2=9 \\ \\ \hbox{the x-coordinate of the midpoint:} \\ \frac{x_1+x_2}{2}=\frac{3-5}{2}=\frac{-2}{2}=-1 \\ \\ \hbox{the y-coordinate of the midpoint:} \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5[/tex]

The coordinates of the midpoint are B. (-1,5).

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