JaquelinC343696 JaquelinC343696
  • 25-10-2022
  • Mathematics
contestada

Line segment AB has endpoint A(-5,6) and B(7,0), what are the coordinates of the midpoint of AB?

Line segment AB has endpoint A56 and B70 what are the coordinates of the midpoint of AB class=

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KaylaneeS412248 KaylaneeS412248
  • 25-10-2022

The formula for the midpoint is as follows:

[tex]\mleft(\cfrac{x_1+x_2}{2},\cfrac{y_1+y_2}{2}\mright)[/tex]

Let:

[tex]\begin{gathered} (x_1,y_1)=(-5,6) \\ (x_2,y_2)=(7,0) \end{gathered}[/tex]

Substitute the coordinates into the formula and then simplify.

[tex]\begin{gathered} \mleft(\cfrac{x_1+x_2}{2},\cfrac{y_1+y_2}{2}\mright)=\mleft(\cfrac{-5+7}{2},\cfrac{6+0}{2}\mright) \\ =\mleft(\cfrac{2}{2},\cfrac{6}{2}\mright) \\ =(1,3) \end{gathered}[/tex]

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