Calculate the distance between the points E = (6, 0) and M= (1, - 3) in the coordinate plan
Give an exact answer (not a decimal approximation).
Using the distance formula in coordinate geometry, the distance between two points A(x1, y1) and B(x2, y2) is given by:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the values for E = (6, 0) and M = (1, -3), the distance between them is:
Distance = √[(1 - 6)^2 + (-3 - 0)^2]
Distance = √[(-5)^2 + (-3)^2]
Distance = √[25 + 9]
Distance = √34
Therefore, the exact distance between the points E and M is √34 units.