Question

Find the distance between the points (-5, 0) and (-4, 1).

1
\[ \sqrt{2} \]
\[2 \sqrt{2} \]

Answer 1

The formula of a distance between two points A and B is :


`AB=\sqrt{(x_(B)- x_(A))^2 +( y_(B)- y_(A))^2 }`

You should this formula by heart.

Then, you just have to apply it ! :D

Here :


`x_(A)=-5`

`y_(A) =0`


`x_(B) =-4`

`y_(B)= 1`

Therefore :


`√((-4-(-5))^2+(1-0)^2)`

`= √(1^2+1^2)`

`= √(1+1)`

`= √(2)`

In short, the answer would be the first option :
`√(2)`.

Hope this helps !

Photon