Final answer:
The exact distance between the points (4,-7) and (2,-1) is 2√10 units.
Step-by-step explanation:
To find the distance between the points (4,-7) and (2,-1), we can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of the two points into the formula:
d = √((2 - 4)^2 + (-1 - (-7))^2)
d = √((-2)^2 + (6)^2)
d = √(4 + 36)
d = √40
d = 2√10
Therefore, the exact distance between the points is 2√10 units.