PrishG610694 PrishG610694
  • 26-10-2022
  • Mathematics
contestada

if the other midpoint of a line segment is (3,5) and one endpoint is (-1,-2), what is the other endpoint?

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AdelinH15919 AdelinH15919
  • 26-10-2022

the midpoint of the line is (3,5)

one endpoint is (-1, -2)

now for another point,

let the other point is (x, y)

so by midpoint formula,

[tex]3=\frac{-1+x}{2}[/tex][tex]\begin{gathered} 6=-1+x \\ x=6+1 \\ x=7 \end{gathered}[/tex]

and

[tex]\begin{gathered} 5=\frac{-2+y}{2} \\ 10=-2+y \\ y=10+2 \\ y=12 \end{gathered}[/tex]

thus, the other point is (7,12)

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