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 :

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

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

... $\sqrt{16+4}$

... $\sqrt{20}$

... $\sqrt{5}$×$\sqrt{4}$

... 2$\sqrt{5}$ units is the distance.

Hope my answer helps!!