Calculate the distance between the points E = (-2, 3) and K = (3, - 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).
To find the distance between two points E = (-2, 3) and K = (3, -4) in the coordinate plane, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of E and K:
Distance = sqrt((3 - (-2))^2 + (-4 - 3)^2)
= sqrt((3 + 2)^2 + (-4 - 3)^2)
= sqrt(5^2 + (-7)^2)
= sqrt(25 + 49)
= sqrt(74)
Therefore, the distance between the points E and K is sqrt(74) units.