AntoinetteI208750 AntoinetteI208750
  • 28-10-2022
  • Mathematics
contestada

What is the midpoint of a line segment with the endpoints (-4,-3) and (7,-5)?O A. (-3.5, 1)B. (1,-3.5)C. (-4, 1.5)D. (1.5, -4)

What is the midpoint of a line segment with the endpoints 43 and 75O A 35 1B 135C 4 15D 15 4 class=

Respuesta :

HazelroseS31314 HazelroseS31314
  • 28-10-2022

To calculate the midpoint, we just need to calculate the mean for each coordinate.

Given the set of points

[tex]\lbrace(x_1,y_1),(x_2,y_2)_{}\rbrace[/tex]

The coordinate of the midpoint is given by

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

Now, let's calculate the midpoint for our set of points

[tex]\lbrace(-4,-3),(7,-5)\rbrace[/tex]

The midpoint is:

[tex](\frac{-4+7}{2},\frac{-3-5}{2})=(1.5,-4)[/tex]

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