Question

Find the distance between the following pair of points:

(-6, 7) and (-1, -5)

Answer 1

The distance d between two points (x₁, y₁) and (x₂, y₂) is given by the formula.

`d = sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)`

The two given points are (-6, 7) and (-1, -5)

The distance between these two points is 

`d = sqrt((-6 + 1)^2 + (7 +5)^2)`

`= sqrt((-5)^2 + (12)^2)`

`= sqrt(25 + 144)`

`= sqrt(169)`

= d = 13

Hence the distance is 13 units