Calculate the distance between the points N = (-6, 6) and J= (-3, 9) in the coordinate plane.
Give an exact answer (not a decimal approximation) -
To find the distance between two points in the coordinate plane, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are N = (-6, 6) and J = (-3, 9).
Let x1 = -6, y1 = 6, x2 = -3, y2 = 9
Distance = sqrt((-3 - (-6))^2 + (9 - 6)^2)
Distance = sqrt(3^2 + 3^2)
Distance = sqrt(9 + 9)
Distance = sqrt(18)
Therefore, the distance between points N = (-6, 6) and J = (-3, 9) is sqrt(18) units.