Final answer:
The distance between the two points (-2,1) and (4,3) is approximately 6.325 units.
Step-by-step explanation:
The distance between two points can be found using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For the given points (-2,1) and (4,3), the coordinates are:
x1 = -2, y1 = 1
x2 = 4, y2 = 3
Substituting these values into the formula:
d = sqrt((4 - (-2))^2 + (3 - 1)^2)
d = sqrt((6)^2 + (2)^2)
d = sqrt(36 + 4)
d = sqrt(40)
d ≈ 6.325
So, the distance between the two points is approximately 6.325 units.