Question

Calculate the distance between the points E=(-6,8) and N=(-1,5) in the coordinate plane. Give an exact answer (not a decimal approximation).

Answer 1

Answer:

6 units

Step-by-step explanation:

The formula for calculating the distance between two points is expressed as;

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the coordinate points  E=(-6,8) and N=(-1,5)

$EN = \sqrt{(5-8)^2+(-1+6)^2}\\EN = \sqrt{(-3)^2+(5)^2}\\EN = \sqrt{9+25}\\EN = \sqrt{34}\\EN = 5.8\\EN \approx 6$

Hence the distance between the points is approximately 6 units