Question

Fellow 9. What is the distance between (-3, 4) and (5, 1)?

Answer 1

Answer: The exact distance is $\sqrt{73}$ units

The approximate distance is roughly 8.5440037 units

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Explanation:

Use the distance formula

$(x_1,y_1) = (-3,4)\\\\(x_2,y_2) = (5,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-5)^2 + (4-1)^2}\\\\d = \sqrt{(-8)^2 + (3)^2}\\\\d = \sqrt{64 + 9}\\\\d = \sqrt{73}\\\\d \approx 8.5440037$

As an alternative, you can use the pythagorean theorem.