Calculate the distance between the points @ = (-5, - 1) and J = (1, - 8) in the coordinate plane.
Give an exact answer (not a decimal approximation).
To find the distance between the points @ and J, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of @ and J:
Distance = sqrt((1 - (-5))^2 + (-8 - (-1))^2)
Distance = sqrt(6^2 + (-7)^2)
Distance = sqrt(36 + 49)
Distance = sqrt(85)
Therefore, the exact distance between the points @ and J is sqrt(85) units.