Hi, I’m stuck in this question (the question is in the description) thank you for answering!!!

Question

The midpoint of a line segment between two points (x₁, y₁) and (x₂, y₂) is given by (x1+x2/2, y1+y2/2)

. Suppose that line segment AB has endpoints at (-5, 2) and (6, 5) and line segment CD has endpoints at (-3, -1) and (6, -4). 

If M is the midpoint of AB and N is the midpoint of CD, find the midpoint of MN.

 

The midpoint of MN is ( 

Answer 1

AB line segment = ( -5 , 2 ) and ( 6 , 5 )

Mid point M = -5+6/2 , 2+5/2

M = ( 0.5 , 3.5)

CD line segment = ( -3 , -1 ) and (6 , -4)

Mid point N = -3+6/2 , -1-4/2

N = ( 1.5 , -2.5 )

MN line segment = ( 0.5 , 3.5) and ( 1.5 , -2.5)

Mid point of MN = 0.5+1.5/2 , 3.5 -2.5/2

= 1 , 1/2

=( 1 , 0.5 )

Answer 2

(-5,2) (6,5) have midpoint (1/2, 7/2)

(-3,-1) (6,-4) have midpoint (3/2, -5/2)

midpoint of (1/2, 7/2) and (3/2, -5/2) is (1,1)

it may help to plot the points, even a rough sketch can tell you if the solution is in the right range. (1,1) looks right.