Question

How to find the distance AB ? A(0,1) B(2,-3)

Answer 1

Hey there!!

Distance formula :

`\sqrt{(y2-y1)^(2) + (x2-x1)^(2)  }`

Coordinates given :

( 0,1 ) and ( 2,-3 )

( y2 = -3 ; y1 = 1 ) ( x2 = 2 ; x1 = 0 )

Plugging in the values :

...
`\sqrt{(-3-1)^(2)+(2-0)^(2) }`

...
`\sqrt{(-4)^(2)+(2)^(2) }`

...
`√(16+4)`

...
`√(20)`

...
`√(5)`×
`√(4)`

... 2
`√(5)` units is the distance.

Hope my answer helps!!