Question #244626

if the endpoints of a line segment are (14, -8) and (4,12) what would the midpoint be? use the midpoint formula: (Xm, Ym)= (x1+x2, y1+y2)

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Expert's answer
2021-09-30T17:47:40-0400

Given the endpoints of a line segment are (14,-8) and (4,12)

This means x1=14,y1=8,x2=4,y2=12x_1=14,y_1=-8,x_2=4,y_2=12

Mid point formula:(cm,my)=(x1+x22),(y1+y22)=(14+42),(8+122)=(162),(42)=(8,2)(\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})= (\frac{14+4}{2}),(\frac{-8+12}{2})\\ =(\frac{16}{2}),(\frac{4}{2})\\=(8,2)

The midpoint of the line segment will be (8,2)


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