Final answer:
The midpoint of the line segment AB with points A(1,4) and B(3,6) is (2, 5).
Step-by-step explanation:
To calculate the midpoint of a line segment AB with points A(1,4) and B(3,6), we can use the midpoint formula. The formula for the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:
Midpoint: ((x1 + x2)/2, (y1 + y2)/2)
Applying this formula to our given points A(1,4) and B(3,6), we substitute x1 = 1, y1 = 4, x2 = 3, and y2 = 6 into the formula:
Midpoint: ((1 + 3)/2, (4 + 6)/2) = (2, 5)