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What are the coordinates of the midpoint of EF if point E is located at (–12, 5) and point F is located at (7, –9)?

(-5/2,7)
(5/2,7)
(-5/2,-2)
(5/2,-2)

Respuesta :

gmany

[tex]\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ E(-12,\ 5)\ \text{and}\ F(7,\ -9).\ \text{Substitute:}\\\\x=\dfrac{-12+7}{2}=-\dfrac{5}{2}\\\\y=\dfrac{5+(-9)}{2}=\dfrac{-4}{2}=-2\\\\Answer:\ \boxed{\left(-\dfrac{5}{2};\ -2\right)}[/tex]

MrRoyal

The midpoint of a segment divides the segment into equal halves.

The coordinates of the midpoint EF is (c) (-5/2,-2)

The coordinates are given as:

[tex]E = (-12,5)[/tex]

[tex]F = (7,-9)[/tex]

The midpoint (m) is calculated using

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

So, we have:

[tex]m = (\frac{-12 + 7}{2},\frac{5-9}{2})[/tex]

Simplify

[tex]m = (\frac{-5}{2},\frac{-4}{2})[/tex]

Divide -4 by 2

[tex]m = (\frac{-5}{2},-2)[/tex]

Hence, the coordinates of the midpoint is (c) (-5/2,-2)

Read more about midpoints at:

https://brainly.com/question/16828532

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