Question

Find the midpoint of the segment with the given endpoints.

G(–4, 4) and H(2, 10)

Answer 1

Midpoint (-1,7)

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

(-1, 7)

Explanation:

Midpoint of a line segment

`\textsf{Midpoint}=\left((x_2+x_1)/(2),(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((2+(-4))/(2),(10+4)/(2)\right)=(-1,7)`