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.
The distance between two points (x1, y1) and (x2, y2) in a coordinate plane can be found using the distance formula:
Distance = √((x2-x1)^2 + (y2-y1)^2)
Substitute the given points into the formula:
Distance = √((-6-0)^2 + (-3-(-2))^2)
Distance = √((-6)^2 + (-3+2)^2)
Distance = √(36 + 1)
Distance = √37
Therefore, the distance between the points (0,–2) and (–6,–3) is √37 or approximately 6.08.