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Find the midpoint of the segment with the given endpoints.

G(–4, 4) and H(2, 10)


Sagot :

Answer:

Midpoint (-1,7)

Step-by-step explanation:

To find a midpoint, average the x's and then average the y's (add and divide by 2)

The x-coordinate of the midpoint is: (-4+2)/2

= -2/2

= -1

and the y-coordinate is:

(4+10)/2

= 14/2

= 7

So the midpoint is:

(-1,7)

Answer:

(-1, 7)

Step-by-step explanation:

Midpoint of a line segment

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(-4,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,10)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)[/tex]