Find the midpoint of the segment with endpoint

( 1/3,-4) and (-2/3,6)

a) (-1/6,1)
b) (-1/2, 1)
c) (-1/3,2)
d) (1,-1/6)

a (-1/6, 1)

it goes 1 to the left and 10 up. the midpoint of 1 is 1/2 and of 10 is 5. it goes 1/2 to the left of the x value in the first point and 5 up from the y value. (1/3-1/2, -4+5)=(-1/6, 1)

thanks bob

To find the midpoint of a segment, you can use the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Given the endpoints of the segment:
Endpoint 1: (1/3, -4)
Endpoint 2: (-2/3, 6)

Substituting the values into the formula, we get:

Midpoint = ((1/3 + (-2/3))/2, (-4 + 6)/2)
= ((-1/3)/2, 2/2)
= (-1/6, 1)

Therefore, the midpoint of the segment is (-1/6, 1).

So the correct option is (a) (-1/6, 1).