The midpoint of a line segment with end points as (x, 4) and (-2, -2) is (2, 1). What is the value of x?

x = 6

x = 4

x = -3

x = -2

Question

The midpoint of a line segment with end points as (x, 4) and (-2, -2) is (2, 1). What is the value of x?

 x = 6

 x = 4

 x = -3

 x = -2

ajprincess · Answer

Let the coordinates of the end points be $(x_1,y_1)$ and $(x_2,y_2)$ and the coordinate of the midpoint be $(x,y)$
Then
$$x=\frac{ x_1+x_2 }{ 2 }$$
$$y=\frac{ y_1+y_2 }{ 2 }$$
Does that help?

anonymous · Answer

I don't really get how to plug in the numbers... Like, how would you know which ones are x1, x2, etc.

ajprincess · Answer

|dw:1364063702499:dw|