Final answer:
The midpoint of the line segment HK with endpoints H(2,1) and K(-1,5) is (0.5, 3).
Step-by-step explanation:
The midpoint formula is just an average. Add the 2 X-values, then divide by 2. Add the 2 Y-values, then divide by 2. You have then found the average for the X and Y values which gives you the point half way between the original 2 points.
It is the same distance from each endpoint of the straight line segment. Sometimes we can work this out by inspection – this is easier with positive integer numbers. For example, given the two points (2,2) and (8,6), the midpoint is exactly halfway between the two, and lies at. (5, 4).
The midpoint of a line segment can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints. In this case, the coordinates of point H are (2,1) and the coordinates of point K are (-1,5).
Using the formula for finding the midpoint, we calculate:
x-coordinate of midpoint = (2 + -1) / 2 = 1/2 = 0.5
y-coordinate of midpoint = (1 + 5) / 2 = 6/2 = 3
Therefore, the midpoint of line HK is (0.5, 3).