Question

What is the midpoint of this point (-4,2) and (8,0)? ​

Answer 1

Mid - point = ( 2 , 1 )

Explanation:

Let A = ( - 4 , 2 ) and B = ( 8 , 0 )

Let P = ( x , y ) be the mid-point of AB

Then,

`P = ((x_A + x_B)/(2) , (y_A + y_B)/(2) ) \\\\P =((-4+8)/(2) , (2+0)/(2)) \\\\P = ( (4)/(2) , (2)/(2) )\\\\P = ( 2 , 1)`

Answer 2

(2,1)

Explanation:

Hi there!

Midpoint:
`((x_1+x_2)/(2) , (y_1+y_2)/(2) )` where two endpoints of a line segment are
`(x_1,y_1)` and
`(x_2,y_2)`

Plug in the given points (-4,2) and (8,0)

`((-4+8)/(2) , (2+0)/(2) )\\((4)/(2) , (2)/(2) )\\(2, 1)`

Therefore, the midpoint of the line segment is (2,1).

I hope this helps!