Question

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 1

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)

Answer 2

M(4, 3 )

Explanation:

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

(
`(x_(1)+x_(2) )/(2)` ,
`(y_(1)+y_(2) )/(2)` )

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

M = (
`(7+1)/(2)`,
`(4+2)/(2)` ) = (
`(8)/(2)`,
`(6)/(2)` ) = (4, 3 )