Final answer:
The distance between the points (2,2) and (4,1) is sqrt(5) units.
Step-by-step explanation:
To find the distance between two points, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
Let's use the given coordinates (2,2) and (4,1) to find the distance between them:
d = sqrt((4-2)^2 + (1-2)^2)
d = sqrt(2^2 + (-1)^2)
d = sqrt(4 + 1)
d = sqrt(5)
Therefore, the distance between the points (2,2) and (4,1) is sqrt(5) units.