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

6 units

Explanation:

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

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

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

`EN = √((5-8)^2+(-1+6)^2)\\EN = √((-3)^2+(5)^2)\\EN = √(9+25)\\EN = √(34)\\EN = 5.8\\EN \approx 6`

Hence the distance between the points is approximately 6 units