Calculate the distance between two points in a Cartesian coordinate system.
Check the final answer first, then review the worked steps.
Problem
Calculate the distance between two points in a Cartesian coordinate system.
Step-by-step solution
Using the distance formula, $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$, we get $d = \sqrt{(2-10)^2 + (19-4)^2} = \sqrt{(-8)^2 + (15)^2} = \sqrt{64 + 225} = \sqrt{289} = 17$.
Answer
17 units