Answer:
So, the midpoint of the line segment with endpoints (11/3, 4/9) and (-5/3, 8/9) is (2, 4/3).
Explanation:
To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), you can use the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, your endpoints are (11/3, 4/9) and (-5/3, 8/9).
Midpoint = ((11/3 + (-5/3)) / 2, (4/9 + 8/9) / 2)
Now, calculate the midpoint:
Midpoint = ((6/3) / 2, (12/9) / 2)
Simplify:
Midpoint = (2, 4/3)
So, the midpoint of the line segment with endpoints (11/3, 4/9) and (-5/3, 8/9) is (2, 4/3).