Hey there!!
Distance formula :
[tex]\sqrt{(y2-y1)^{2} + (x2-x1)^{2} }[/tex]
Coordinates given :
( 0,1 ) and ( 2,-3 )
( y2 = -3 ; y1 = 1 ) ( x2 = 2 ; x1 = 0 )
Plugging in the values :
... [tex]\sqrt{(-3-1)^{2}+(2-0)^{2} }[/tex]
... [tex]\sqrt{(-4)^{2}+(2)^{2} }[/tex]
... [tex]\sqrt{16+4}[/tex]
... [tex]\sqrt{20}[/tex]
... [tex]\sqrt{5}[/tex]×[tex]\sqrt{4}[/tex]
... 2[tex]\sqrt{5}[/tex] units is the distance.
Hope my answer helps!!
