find the midpoint of the segment with endpoints (1/3,-4) and (-2/3,6)
a) (-1/3,2)
b) (-1/6,1)
c) (-1/2,1)
d) (1,-1/6)
average x and average y
(1/3-2/3)/2 = -1/6
(-4+6)/2 = 1
(-1/6, 1)
To find the midpoint of a segment with endpoints (x1, y1) and (x2, y2), you can use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints are (1/3, -4) and (-2/3, 6).
Using the midpoint formula, we can find the midpoint as follows:
Midpoint = ((1/3 - 2/3)/2, (-4 + 6)/2)
= ((-1/3)/2, 2/2)
= (-1/6, 1)
Therefore, the midpoint of the segment with the given endpoints is (-1/6, 1).
So, the correct answer is b) (-1/6, 1).