Find the distance between the points (0,
–
2) and (
–
6,
–
3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
unit
The distance between the points (0, -2) and (-6, -3) can be found using the distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(-6 - 0)^2 + (-3 - (-2))^2]
d = √[(-6)^2 + (-3 + 2)^2]
d = √[36 + 1]
d = √37
Therefore, the distance between the two points is √37 units.