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Find the midpoint of the two points below. Type your answer as a point (x,y) without any spaces between your characters. Be sure to include the parentheses and a comma between your x and y values. If a value is not an integer then type your answer as a decimal rounded to the nearest hundredth.(0,7) and (4,-9)The midpoint is Answer

Find the midpoint of the two points below Type your answer as a point xy without any spaces between your characters Be sure to include the parentheses and a com class=

Respuesta :

We will use the following formula for the coordinates of the midpoint (l,m) of a segment with endpoints (x,y) and (z,k):

[tex]\begin{gathered} l=\frac{x+z}{2}, \\ m=\frac{y+k}{2}\text{.} \end{gathered}[/tex]

Substituting the given points in the above formula we get:

[tex]\begin{gathered} l=\frac{0+4}{2}=\frac{4}{2}=2, \\ m=\frac{7+(-9)}{2}=\frac{-2}{2}=-1. \end{gathered}[/tex]

Answer: The midpoint is

[tex](2,-1)\text{.}[/tex]

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