Final answer:
To find the length of the line segment AB with endpoints A(2,1) and B(6,3), we use the distance formula.
Step-by-step explanation:
To find the length of the line segment AB with endpoints A(2,1) and B(6,3), we use the distance formula. The distance formula is given by:
AB = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of A and B, we get:
AB = √((6 - 2)^2 + (3 - 1)^2)
AB = √((4)^2 + (2)^2)
AB = √(16 + 4)
AB = √20
AB ≈ 4.47