Question

What is the distance between `(2,-6)` and `(4,-4)`?

Answer 1

`2sqrt(2)` units

Explanation:

The distance formula for Cartesian coordinates is

`d=sqrt((x_2-x_1)^2+(y_2-y_1)^2`
Where `x_1, y_1`, and`x_2, y_2` are the Cartesian coordinates of two points respectively.
Let `(x_1,y_1)` represent `(2,-6)` and `(x_2,y_2)` represent `(4.-4)`.
`implies d=sqrt((4-2)^2+(-4-(-6))^2`
`implies d=sqrt((2)^2+(-4+6)^2`
`implies d=sqrt(4+(2)^2`
`implies d=sqrt(4+4`
`implies d=sqrt(8`
`implies d=2sqrt(2` units

Hence the distance between the given points is `2sqrt(2)` units.