Answered

M is the midpoint of AB. If the coordinates of point A are (7,4) and the coordinates of B are (1,2), what are the cooridnates of M?

Answer :

Answer:

M(4, 3 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(7, 4) and (x₂, y₂ ) = B(1, 2) , thus

M  = ([tex]\frac{7+1}{2}[/tex], [tex]\frac{4+2}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (4, 3 )

MrWolvX
Answer is (4,3)
This is because to find the mid point you add the x coordinates and divide by 2 and the you add the y coordinates and divide by 2.

x+x/2= midpoint x
y+y/2=midpoint y
And so you do:
7+1=8. 8/2=4 so x coordinate is 4
4+2=6. 6/2=3 so y coordinate is 3

And so the answer to the question is (4,3)

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