Question

Find the distance
(-2, 1) and (4,3)

Answer 1

`2√(10)` units

Explanation:

The distance formula states that
`D(x_(1) ,y_(1))(x_(2),y_(2) )=\sqrt{(x_(2) } -x_(1) )^2+(y_(2)-y_(1) )^2\\`.

We then plug in our points and compute.
`√((4-(-2))^2+(3-1)^2) =√(6^2+2^2) =√(36+4) =√(40) =√(2^2*2*5) =2*√(2*5) =2√(10)`

The * represents multiplication.