Question

Find the midpoint of the segment with the given endpoints. G(–4, 4) and H(2, 10)

Answer 1

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 2

Answer:

(-1, 7)

Step-by-step explanation:

Midpoint of a line segment

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

$\textsf{let}\:(x_1,y_1)=(-4,4)$

$\textsf{let}\:(x_2,y_2)=(2,10)$

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