Question

A line segment has end points of (4, -4) and
(0, 5). What are the coordinates of the midpoint of this line segment?

A) (2, 1/2)
B) (-2, -9/2)
C) (4, 1/2)
D) (8, -13)

Answer 1

the midpoint has the average coordinates of the ends:

( (4+0)/2 , (-4+5)/2 ) = (2,1/2)

Answer 2

Just to refresh your memory on why this is true,

the distance from a to b is b-a
the value halfway from a to b is thus

a + (b-a)/2 = (2a+b-a)/2 = (a+b)/2

Answer 3

Is the answer A then?

Answer 4

yes, but read what he said.