Final answer:
The midpoint of the line segment with endpoints J(5,10) and K(4,-4) is (4.5, 3).
Step-by-step explanation:
To find the midpoint of a line segment, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) are given by:
(x1 + x2)/2, (y1 + y2)/2
Using the given endpoints J(5,10) and K(4,-4), we can substitute their coordinates into the formula:
(5 + 4)/2, (10 + -4)/2 = 9/2, 6/2 = (4.5, 3)
Therefore, the midpoint M of line segment JK is (4.5, 3).